32748425515008 has 780 divisors, whose sum is σ = 114352436673552. Its totient is φ = 9311373066240.

The previous prime is 32748425514997. The next prime is 32748425515031. The reversal of 32748425515008 is 80051552484723.

It is a happy number.

32748425515008 is a `hidden beast` number, since 3 + 2 + 7 + 4 + 84 + 2 + 5 + 51 + 500 + 8 = 666.

It is a super-3 number, since 3×32748425515008³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3430227291 + ... + 3430236837.

Almost surely, 2^{32748425515008} 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 32748425515008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57176218336776).

32748425515008 is an abundant number, since it is smaller than the sum of its proper divisors (81604011158544).

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

32748425515008 is an equidigital number, since it uses as much as digits as its factorization.

32748425515008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9808 (or 9770 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 32748425515008 in words is "thirty-two trillion, seven hundred forty-eight billion, four hundred twenty-five million, five hundred fifteen thousand, eight".