864647079434352 has 160 divisors (see below), whose sum is σ = 2529951230525760. Its totient is φ = 282636045020160.

The previous prime is 864647079434329. The next prime is 864647079434389. The reversal of 864647079434352 is 253434970746468.

864647079434352 is a `hidden beast` number, since 8 + 6 + 4 + 6 + 4 + 70 + 79 + 434 + 3 + 52 = 666.

It is a super-2 number, since 2×864647079434352² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36268102 + ... + 55178522.

It is an arithmetic number, because the mean of its divisors is an integer number (15812195190786).

Almost surely, 2^{864647079434352} 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 864647079434352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264975615262880).

864647079434352 is an abundant number, since it is smaller than the sum of its proper divisors (1665304151091408).

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

864647079434352 is a wasteful number, since it uses less digits than its factorization.

864647079434352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18912488 (or 18912476 counting only the distinct ones).

The product of its (nonzero) digits is 2926264320, while the sum is 72.

The spelling of 864647079434352 in words is "eight hundred sixty-four trillion, six hundred forty-seven billion, seventy-nine million, four hundred thirty-four thousand, three hundred fifty-two".