712362470400 has 2772 divisors, whose sum is σ = 3320885027880. Its totient is φ = 150493593600.

The previous prime is 712362470327. The next prime is 712362470411. The reversal of 712362470400 is 4074263217.

712362470400 is a `hidden beast` number, since 7 + 1 + 2 + 3 + 6 + 247 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 17374694380 + ... + 17374694420.

Almost surely, 2^712362470400 is an apocalyptic number.

712362470400 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 712362470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660442513940).

712362470400 is an abundant number, since it is smaller than the sum of its proper divisors (2608522557480).

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

712362470400 is a wasteful number, since it uses less digits than its factorization.

712362470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 712362470400 in words is "seven hundred twelve billion, three hundred sixty-two million, four hundred seventy thousand, four hundred".