712644566400 has 1536 divisors, whose sum is σ = 2943078297600. Its totient is φ = 167215104000.

The previous prime is 712644566399. The next prime is 712644566401. The reversal of 712644566400 is 4665446217.

712644566400 is a `hidden beast` number, since 7 + 1 + 2 + 6 + 44 + 566 + 40 + 0 = 666.

712644566400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (712644566399) and next prime (712644566401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712644566401) 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, 3377462295 + ... + 3377462505.

It is an arithmetic number, because the mean of its divisors is an integer number (1916066600).

Almost surely, 2^712644566400 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 712644566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471539148800).

712644566400 is an abundant number, since it is smaller than the sum of its proper divisors (2230433731200).

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

712644566400 is a wasteful number, since it uses less digits than its factorization.

712644566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 712644566400 in words is "seven hundred twelve billion, six hundred forty-four million, five hundred sixty-six thousand, four hundred".