1951668864 has 256 divisors, whose sum is σ = 6161126400. Its totient is φ = 606735360.

The previous prime is 1951668863. The next prime is 1951668919. The reversal of 1951668864 is 4688661591.

1951668864 is a `hidden beast` number, since 1 + 9 + 516 + 68 + 8 + 64 = 666.

It is a super-2 number, since 2×1951668864² = 7618022709414100992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1951668864.

It is not an unprimeable number, because it can be changed into a prime (1951668863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3417699 + ... + 3418269.

It is an arithmetic number, because the mean of its divisors is an integer number (24066900).

Almost surely, 2^1951668864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1951668864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080563200).

1951668864 is an abundant number, since it is smaller than the sum of its proper divisors (4209457536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1951668864 is a wasteful number, since it uses less digits than its factorization.

1951668864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 642 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 1951668864 is about 44177.6964542064. The cubic root of 1951668864 is about 1249.6892804224.

The spelling of 1951668864 in words is "one billion, nine hundred fifty-one million, six hundred sixty-eight thousand, eight hundred sixty-four".