58784460480 has 672 divisors, whose sum is σ = 225966162240. Its totient is φ = 14511882240.

The previous prime is 58784460479. The next prime is 58784460491. The reversal of 58784460480 is 8406448785.

58784460480 is a `hidden beast` number, since 5 + 87 + 84 + 4 + 6 + 0 + 480 = 666.

It is a super-2 number, since 2×58784460480² (a number of 22 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 963679650 + ... + 963679710.

It is an arithmetic number, because the mean of its divisors is an integer number (336259170).

Almost surely, 2^58784460480 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 58784460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112983081120).

58784460480 is an abundant number, since it is smaller than the sum of its proper divisors (167181701760).

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

58784460480 is an frugal number, since it uses more digits than its factorization.

58784460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 58784460480 in words is "fifty-eight billion, seven hundred eighty-four million, four hundred sixty thousand, four hundred eighty".