715604198400 has 2112 divisors, whose sum is σ = 3347767951360. Its totient is φ = 145716019200.

The previous prime is 715604198339. The next prime is 715604198401. The reversal of 715604198400 is 4891406517.

715604198400 is a `hidden beast` number, since 7 + 1 + 56 + 0 + 4 + 198 + 400 = 666.

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 (715604198401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1949875017 + ... + 1949875383.

Almost surely, 2^715604198400 is an apocalyptic number.

715604198400 is a gapful number since it is divisible by the number (70) 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 715604198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673883975680).

715604198400 is an abundant number, since it is smaller than the sum of its proper divisors (2632163752960).

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

715604198400 is a wasteful number, since it uses less digits than its factorization.

715604198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 715604198400 in words is "seven hundred fifteen billion, six hundred four million, one hundred ninety-eight thousand, four hundred".