1634328864 has 288 divisors, whose sum is σ = 5759994240. Its totient is φ = 428875776.

The previous prime is 1634328841. The next prime is 1634328869. The reversal of 1634328864 is 4688234361.

1634328864 is a `hidden beast` number, since 1 + 634 + 3 + 2 + 8 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1634328869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1473142 + ... + 1474250.

It is an arithmetic number, because the mean of its divisors is an integer number (19999980).

Almost surely, 2^1634328864 is an apocalyptic number.

1634328864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1634328864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879997120).

1634328864 is an abundant number, since it is smaller than the sum of its proper divisors (4125665376).

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

1634328864 is a wasteful number, since it uses less digits than its factorization.

1634328864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1181 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 1634328864 is about 40426.8334649154. The cubic root of 1634328864 is about 1177.9128248083.

The spelling of 1634328864 in words is "one billion, six hundred thirty-four million, three hundred twenty-eight thousand, eight hundred sixty-four".