84664917792 has 768 divisors, whose sum is σ = 313579929600. Its totient is φ = 21633454080.

The previous prime is 84664917791. The next prime is 84664917823. The reversal of 84664917792 is 29771946648.

84664917792 is a `hidden beast` number, since 84 + 66 + 491 + 7 + 7 + 9 + 2 = 666.

It is a super-2 number, since 2×84664917792² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (84664917791) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 609100059 + ... + 609100197.

It is an arithmetic number, because the mean of its divisors is an integer number (408307200).

Almost surely, 2^84664917792 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 84664917792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156789964800).

84664917792 is an abundant number, since it is smaller than the sum of its proper divisors (228915011808).

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

84664917792 is a wasteful number, since it uses less digits than its factorization.

84664917792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 352 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 84664917792 in words is "eighty-four billion, six hundred sixty-four million, nine hundred seventeen thousand, seven hundred ninety-two".