712167746400 has 720 divisors, whose sum is σ = 2869331351040. Its totient is φ = 170447846400.

The previous prime is 712167746363. The next prime is 712167746473. The reversal of 712167746400 is 4647761217.

712167746400 is a `hidden beast` number, since 7 + 12 + 167 + 74 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 56304877 + ... + 56317523.

It is an arithmetic number, because the mean of its divisors is an integer number (3985182432).

Almost surely, 2^712167746400 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 712167746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434665675520).

712167746400 is an abundant number, since it is smaller than the sum of its proper divisors (2157163604640).

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

712167746400 is a wasteful number, since it uses less digits than its factorization.

712167746400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12769 (or 12747 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

It can be divided in two parts, 71216 and 7746400, that added together give a square (7817616 = 2796²).

The spelling of 712167746400 in words is "seven hundred twelve billion, one hundred sixty-seven million, seven hundred forty-six thousand, four hundred".