864558852272640 has 800 divisors, whose sum is σ = 3583741966548480. Its totient is φ = 195111989968896.

The previous prime is 864558852272611. The next prime is 864558852272683. The reversal of 864558852272640 is 46272258855468.

864558852272640 is a `hidden beast` number, since 8 + 6 + 4 + 5 + 58 + 8 + 522 + 7 + 2 + 6 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 110900314 + ... + 118439846.

Almost surely, 2^{864558852272640} is an apocalyptic number.

864558852272640 is a gapful number since it is divisible by the number (80) 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 864558852272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791870983274240).

864558852272640 is an abundant number, since it is smaller than the sum of its proper divisors (2719183114275840).

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

864558852272640 is an equidigital number, since it uses as much as digits as its factorization.

864558852272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7539654 (or 7539629 counting only the distinct ones).

The product of its (nonzero) digits is 2064384000, while the sum is 72.

The spelling of 864558852272640 in words is "eight hundred sixty-four trillion, five hundred fifty-eight billion, eight hundred fifty-two million, two hundred seventy-two thousand, six hundred forty".