58394407680 has 576 divisors, whose sum is σ = 237941222400. Its totient is φ = 13284311040.

The previous prime is 58394407637. The next prime is 58394407711. The reversal of 58394407680 is 8670449385.

58394407680 is a `hidden beast` number, since 58 + 3 + 9 + 440 + 76 + 80 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 67979091 + ... + 67979949.

It is an arithmetic number, because the mean of its divisors is an integer number (413092400).

Almost surely, 2^58394407680 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 58394407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118970611200).

58394407680 is an abundant number, since it is smaller than the sum of its proper divisors (179546814720).

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

58394407680 is a wasteful number, since it uses less digits than its factorization.

58394407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 58394407680 in words is "fifty-eight billion, three hundred ninety-four million, four hundred seven thousand, six hundred eighty".