32375480639040 has 1120 divisors, whose sum is σ = 144547657056000. Its totient is φ = 6682161070080.

The previous prime is 32375480639011. The next prime is 32375480639041. The reversal of 32375480639040 is 4093608457323.

32375480639040 is a `hidden beast` number, since 3 + 2 + 3 + 7 + 548 + 0 + 6 + 3 + 90 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is not an unprimeable number, because it can be changed into a prime (32375480639041) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 297325726 + ... + 297434594.

Almost surely, 2^{32375480639040} is an apocalyptic number.

32375480639040 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 32375480639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72273828528000).

32375480639040 is an abundant number, since it is smaller than the sum of its proper divisors (112172176416960).

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

32375480639040 is a wasteful number, since it uses less digits than its factorization.

32375480639040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109065 (or 109046 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 32375480639040 in words is "thirty-two trillion, three hundred seventy-five billion, four hundred eighty million, six hundred thirty-nine thousand, forty".