32480287925904 has 1215 divisors, whose sum is σ = 122028999893307. Its totient is φ = 8036072239104.

The previous prime is 32480287925893. The next prime is 32480287925941. The reversal of 32480287925904 is 40952978208423.

The square root of 32480287925904 is 5699148.

It is a perfect power (a square), and thus also a powerful number.

32480287925904 is a `hidden beast` number, since 3 + 24 + 80 + 287 + 9 + 259 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 293274236304 + 32187013689600 = 541548^2 + 5673360^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 105798983319 + ... + 105798983625.

Almost surely, 2^{32480287925904} is an apocalyptic number.

32480287925904 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

32480287925904 is the 5699148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32480287925904

32480287925904 is an abundant number, since it is smaller than the sum of its proper divisors (89548711967403).

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

32480287925904 is a wasteful number, since it uses less digits than its factorization.

32480287925904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 32480287925904 in words is "thirty-two trillion, four hundred eighty billion, two hundred eighty-seven million, nine hundred twenty-five thousand, nine hundred four".