58724968064 has 96 divisors (see below), whose sum is σ = 136201961700. Its totient is φ = 25147465728.

The previous prime is 58724968051. The next prime is 58724968091. The reversal of 58724968064 is 46086942785.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 58660840000 + 64128064 = 242200^2 + 8008^2 .

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 58724967994 and 58724968012.

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 11 ways as a sum of consecutive naturals, for example, 9737402 + ... + 9743430.

Almost surely, 2^58724968064 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 58724968064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68100980850).

58724968064 is an abundant number, since it is smaller than the sum of its proper divisors (77476993636).

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

58724968064 is a wasteful number, since it uses less digits than its factorization.

58724968064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7610 (or 7591 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 59.

The spelling of 58724968064 in words is "fifty-eight billion, seven hundred twenty-four million, nine hundred sixty-eight thousand, sixty-four".