712624545360 has 1280 divisors, whose sum is σ = 3150518353920. Its totient is φ = 144014008320.

The previous prime is 712624545349. The next prime is 712624545371. The reversal of 712624545360 is 63545426217.

712624545360 is a `hidden beast` number, since 7 + 1 + 2 + 6 + 245 + 45 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (712624545349) and next prime (712624545371).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 651988974 + ... + 651990066.

It is an arithmetic number, because the mean of its divisors is an integer number (2461342464).

Almost surely, 2^712624545360 is an apocalyptic number.

712624545360 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 712624545360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575259176960).

712624545360 is an abundant number, since it is smaller than the sum of its proper divisors (2437893808560).

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

712624545360 is a wasteful number, since it uses less digits than its factorization.

712624545360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 712624545360 in words is "seven hundred twelve billion, six hundred twenty-four million, five hundred forty-five thousand, three hundred sixty".