712651466400 has 144 divisors (see below), whose sum is σ = 2322163497024. Its totient is φ = 189836974080.

The previous prime is 712651466389. The next prime is 712651466419. The reversal of 712651466400 is 4664156217.

712651466400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×712651466400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2090349 + ... + 2407251.

It is an arithmetic number, because the mean of its divisors is an integer number (16126135396).

Almost surely, 2^712651466400 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 712651466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161081748512).

712651466400 is an abundant number, since it is smaller than the sum of its proper divisors (1609512030624).

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

712651466400 is a wasteful number, since it uses less digits than its factorization.

712651466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317863 (or 317850 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 712651466400 in words is "seven hundred twelve billion, six hundred fifty-one million, four hundred sixty-six thousand, four hundred".