58274802432 has 576 divisors, whose sum is σ = 216254545920. Its totient is φ = 15037747200.

The previous prime is 58274802431. The next prime is 58274802451. The reversal of 58274802432 is 23420847285.

58274802432 is a `hidden beast` number, since 582 + 7 + 48 + 0 + 24 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×58274802432² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (58274802431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118685707 + ... + 118686197.

It is an arithmetic number, because the mean of its divisors is an integer number (375441920).

Almost surely, 2^58274802432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58274802432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108127272960).

58274802432 is an abundant number, since it is smaller than the sum of its proper divisors (157979743488).

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

58274802432 is a wasteful number, since it uses less digits than its factorization.

58274802432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 58274802432 in words is "fifty-eight billion, two hundred seventy-four million, eight hundred two thousand, four hundred thirty-two".