58463078400 has 864 divisors, whose sum is σ = 224755614720. Its totient is φ = 15049359360.

The previous prime is 58463078383. The next prime is 58463078407. The reversal of 58463078400 is 487036485.

58463078400 is a `hidden beast` number, since 5 + 8 + 4 + 630 + 7 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (58463078407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 460339137 + ... + 460339263.

Almost surely, 2^58463078400 is an apocalyptic number.

58463078400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58463078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112377807360).

58463078400 is an abundant number, since it is smaller than the sum of its proper divisors (166292536320).

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

58463078400 is a wasteful number, since it uses less digits than its factorization.

58463078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 58463078400 in words is "fifty-eight billion, four hundred sixty-three million, seventy-eight thousand, four hundred".