62225832960 has 880 divisors, whose sum is σ = 240751764000. Its totient is φ = 15320088576.

The previous prime is 62225832919. The next prime is 62225832961. The reversal of 62225832960 is 6923852226.

62225832960 is a `hidden beast` number, since 6 + 2 + 2 + 2 + 583 + 2 + 9 + 60 = 666.

62225832960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62225832961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 417622966 + ... + 417623114.

It is an arithmetic number, because the mean of its divisors is an integer number (273581550).

Almost surely, 2^62225832960 is an apocalyptic number.

62225832960 is a gapful number since it is divisible by the number (60) 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 62225832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120375882000).

62225832960 is an abundant number, since it is smaller than the sum of its proper divisors (178525931040).

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

62225832960 is a wasteful number, since it uses less digits than its factorization.

62225832960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 62225832960 in words is "sixty-two billion, two hundred twenty-five million, eight hundred thirty-two thousand, nine hundred sixty".