32748023952000 has 1280 divisors, whose sum is σ = 146319050592000. Its totient is φ = 7091264102400.

The previous prime is 32748023951983. The next prime is 32748023952013. The reversal of 32748023952000 is 25932084723.

32748023952000 is a `hidden beast` number, since 3 + 27 + 4 + 80 + 23 + 9 + 520 + 0 + 0 = 666.

It is a super-3 number, since 3×32748023952000³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 172273006 + ... + 172462994.

It is an arithmetic number, because the mean of its divisors is an integer number (114311758275).

Almost surely, 2^{32748023952000} is an apocalyptic number.

32748023952000 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 32748023952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73159525296000).

32748023952000 is an abundant number, since it is smaller than the sum of its proper divisors (113571026640000).

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

32748023952000 is a wasteful number, since it uses less digits than its factorization.

32748023952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190056 (or 190025 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 32748023952000 in words is "thirty-two trillion, seven hundred forty-eight billion, twenty-three million, nine hundred fifty-two thousand".