32152794400 has 72 divisors (see below), whose sum is σ = 78615593280. Its totient is φ = 12841032960.

The previous prime is 32152794367. The next prime is 32152794431. The reversal of 32152794400 is 449725123.

It is a self number, because there is not a number n which added to its sum of digits gives 32152794400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 486541 + ... + 548659.

It is an arithmetic number, because the mean of its divisors is an integer number (1091883240).

Almost surely, 2^32152794400 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 32152794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39307796640).

32152794400 is an abundant number, since it is smaller than the sum of its proper divisors (46462798880).

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

32152794400 is a wasteful number, since it uses less digits than its factorization.

32152794400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62786 (or 62773 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 32152794400 in words is "thirty-two billion, one hundred fifty-two million, seven hundred ninety-four thousand, four hundred".