32542965879264 has 864 divisors, whose sum is σ = 107858368800000. Its totient is φ = 9258228080640.

The previous prime is 32542965879239. The next prime is 32542965879289. The reversal of 32542965879264 is 46297856924523.

32542965879264 is a `hidden beast` number, since 3 + 2 + 5 + 4 + 296 + 5 + 8 + 79 + 264 = 666.

It is an interprime number because it is at equal distance from previous prime (32542965879239) and next prime (32542965879289).

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

It is a junction number, because it is equal to n+sod(n) for n = 32542965879192 and 32542965879201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4339636987 + ... + 4339644485.

It is an arithmetic number, because the mean of its divisors is an integer number (124836075000).

Almost surely, 2^{32542965879264} 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 32542965879264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53929184400000).

32542965879264 is an abundant number, since it is smaller than the sum of its proper divisors (75315402920736).

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

32542965879264 is a wasteful number, since it uses less digits than its factorization.

32542965879264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7656 (or 7616 counting only the distinct ones).

The product of its digits is 1567641600, while the sum is 72.

The spelling of 32542965879264 in words is "thirty-two trillion, five hundred forty-two billion, nine hundred sixty-five million, eight hundred seventy-nine thousand, two hundred sixty-four".