32772911808000 has 1280 divisors, whose sum is σ = 134708818083840. Its totient is φ = 6883688448000.

The previous prime is 32772911807953. The next prime is 32772911808029. The reversal of 32772911808000 is 80811927723.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4001083905 + ... + 4001092095.

It is an arithmetic number, because the mean of its divisors is an integer number (105241264128).

Almost surely, 2^{32772911808000} is an apocalyptic number.

32772911808000 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 32772911808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67354409041920).

32772911808000 is an abundant number, since it is smaller than the sum of its proper divisors (101935906275840).

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

32772911808000 is a wasteful number, since it uses less digits than its factorization.

32772911808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8476 (or 8450 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 32772911808000 in words is "thirty-two trillion, seven hundred seventy-two billion, nine hundred eleven million, eight hundred eight thousand".