32750375078400 has 720 divisors, whose sum is σ = 126039431754720. Its totient is φ = 7474669977600.

The previous prime is 32750375078381. The next prime is 32750375078413. The reversal of 32750375078400 is 487057305723.

It is a super-2 number, since 2×32750375078400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1300173006 + ... + 1300198194.

It is an arithmetic number, because the mean of its divisors is an integer number (175054766326).

Almost surely, 2^{32750375078400} is an apocalyptic number.

32750375078400 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 32750375078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63019715877360).

32750375078400 is an abundant number, since it is smaller than the sum of its proper divisors (93289056676320).

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

32750375078400 is a wasteful number, since it uses less digits than its factorization.

32750375078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25925 (or 25897 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 51.

The spelling of 32750375078400 in words is "thirty-two trillion, seven hundred fifty billion, three hundred seventy-five million, seventy-eight thousand, four hundred".