32799972581376 has 1792 divisors, whose sum is σ = 121746435858432. Its totient is φ = 7580418048000.

The previous prime is 32799972581371. The next prime is 32799972581377. The reversal of 32799972581376 is 67318527999723.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32799972581371) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106840301415 + ... + 106840301721.

It is an arithmetic number, because the mean of its divisors is an integer number (67938859296).

Almost surely, 2^{32799972581376} 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 32799972581376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60873217929216).

32799972581376 is an abundant number, since it is smaller than the sum of its proper divisors (88946463277056).

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

32799972581376 is a wasteful number, since it uses less digits than its factorization.

32799972581376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 487 counting only the distinct ones).

The product of its digits is 2160406080, while the sum is 78.

The spelling of 32799972581376 in words is "thirty-two trillion, seven hundred ninety-nine billion, nine hundred seventy-two million, five hundred eighty-one thousand, three hundred seventy-six".