712379249254400 has 4032 divisors, whose sum is σ = 2456855871160320. Its totient is φ = 202263389798400.

The previous prime is 712379249254373. The next prime is 712379249254411. The reversal of 712379249254400 is 4452942973217.

It is a self number, because there is not a number n which added to its sum of digits gives 712379249254400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5609285427137 + ... + 5609285427263.

It is an arithmetic number, because the mean of its divisors is an integer number (609339253760).

Almost surely, 2^{712379249254400} is an apocalyptic number.

712379249254400 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 712379249254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228427935580160).

712379249254400 is an abundant number, since it is smaller than the sum of its proper divisors (1744476621905920).

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

712379249254400 is a wasteful number, since it uses less digits than its factorization.

712379249254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 59.

The spelling of 712379249254400 in words is "seven hundred twelve trillion, three hundred seventy-nine billion, two hundred forty-nine million, two hundred fifty-four thousand, four hundred".