712125872640 has 1200 divisors, whose sum is σ = 3157547868288. Its totient is φ = 150198976512.

The previous prime is 712125872639. The next prime is 712125872671. The reversal of 712125872640 is 46278521217.

712125872640 is a `hidden beast` number, since 7 + 1 + 2 + 1 + 2 + 587 + 2 + 64 + 0 = 666.

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

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, 245305429 + ... + 245308331.

Almost surely, 2^712125872640 is an apocalyptic number.

712125872640 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 712125872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578773934144).

712125872640 is an abundant number, since it is smaller than the sum of its proper divisors (2445421995648).

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

712125872640 is a wasteful number, since it uses less digits than its factorization.

712125872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 712125872640 in words is "seven hundred twelve billion, one hundred twenty-five million, eight hundred seventy-two thousand, six hundred forty".