58658417664 has 704 divisors, whose sum is σ = 204749783040. Its totient is φ = 14491975680.

The previous prime is 58658417627. The next prime is 58658417683. The reversal of 58658417664 is 46671485685.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a junction number, because it is equal to n+sod(n) for n = 58658417598 and 58658417607.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 742511577 + ... + 742511655.

It is an arithmetic number, because the mean of its divisors is an integer number (290837760).

Almost surely, 2^58658417664 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 58658417664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102374891520).

58658417664 is an abundant number, since it is smaller than the sum of its proper divisors (146091365376).

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

58658417664 is a wasteful number, since it uses less digits than its factorization.

58658417664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 218 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 60.

The spelling of 58658417664 in words is "fifty-eight billion, six hundred fifty-eight million, four hundred seventeen thousand, six hundred sixty-four".