86737496832 has 864 divisors, whose sum is σ = 317374267392. Its totient is φ = 22221029376.

The previous prime is 86737496831. The next prime is 86737496837. The reversal of 86737496832 is 23869473768.

86737496832 is a `hidden beast` number, since 8 + 67 + 3 + 7 + 496 + 83 + 2 = 666.

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.

Its product of digits (73156608) is a multiple of the sum of its prime divisors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 86737496832.

It is not an unprimeable number, because it can be changed into a prime (86737496831) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 682972353 + ... + 682972479.

It is an arithmetic number, because the mean of its divisors is an integer number (367331328).

Almost surely, 2^86737496832 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 86737496832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158687133696).

86737496832 is an abundant number, since it is smaller than the sum of its proper divisors (230636770560).

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

86737496832 is a wasteful number, since it uses less digits than its factorization.

86737496832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 256 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 63.

The spelling of 86737496832 in words is "eighty-six billion, seven hundred thirty-seven million, four hundred ninety-six thousand, eight hundred thirty-two".