32876796960 has 720 divisors, whose sum is σ = 134943373656. Its totient is φ = 7283146752.

The previous prime is 32876796943. The next prime is 32876797001. The reversal of 32876796960 is 6969767823.

It can be written as a sum of positive squares in 4 ways, for example, as 32586026256 + 290770704 = 180516^2 + 17052^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 127925152 + ... + 127925408.

Almost surely, 2^32876796960 is an apocalyptic number.

32876796960 is a gapful number since it is divisible by the number (30) 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 32876796960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67471686828).

32876796960 is an abundant number, since it is smaller than the sum of its proper divisors (102066576696).

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

32876796960 is a wasteful number, since it uses less digits than its factorization.

32876796960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 32876796960 in words is "thirty-two billion, eight hundred seventy-six million, seven hundred ninety-six thousand, nine hundred sixty".