32494791720960 has 2304 divisors, whose sum is σ = 129398742158400. Its totient is φ = 7801587892224.

The previous prime is 32494791720851. The next prime is 32494791720967. The reversal of 32494791720960 is 6902719749423.

32494791720960 is a `hidden beast` number, since 3 + 2 + 4 + 9 + 479 + 1 + 72 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×32494791720960² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32494791720967) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 755692830699 + ... + 755692830741.

Almost surely, 2^{32494791720960} is an apocalyptic number.

32494791720960 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 32494791720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64699371079200).

32494791720960 is an abundant number, since it is smaller than the sum of its proper divisors (96903950437440).

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

32494791720960 is an frugal number, since it uses more digits than its factorization.

32494791720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 109 counting only the distinct ones).

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

The spelling of 32494791720960 in words is "thirty-two trillion, four hundred ninety-four billion, seven hundred ninety-one million, seven hundred twenty thousand, nine hundred sixty".