32464725120 has 192 divisors, whose sum is σ = 115971031800. Its totient is φ = 8358690816.

The previous prime is 32464725119. The next prime is 32464725133. The reversal of 32464725120 is 2152746423.

32464725120 is a `hidden beast` number, since 3 + 2 + 4 + 647 + 2 + 5 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26391951936 + 6072773184 = 162456^2 + 77928^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69864 + ... + 264216.

Almost surely, 2^32464725120 is an apocalyptic number.

32464725120 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 32464725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57985515900).

32464725120 is an abundant number, since it is smaller than the sum of its proper divisors (83506306680).

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

32464725120 is a wasteful number, since it uses less digits than its factorization.

32464725120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194407 (or 194392 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 32464725120 in words is "thirty-two billion, four hundred sixty-four million, seven hundred twenty-five thousand, one hundred twenty".