712365731640 has 192 divisors, whose sum is σ = 2352849595200. Its totient is φ = 186887264256.

The previous prime is 712365731629. The next prime is 712365731653. The reversal of 712365731640 is 46137563217.

712365731640 is a `hidden beast` number, since 7 + 1 + 2 + 36 + 573 + 1 + 6 + 40 = 666.

It is a super-2 number, since 2×712365731640² (a number of 25 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 10399021 + ... + 10467299.

It is an arithmetic number, because the mean of its divisors is an integer number (12254424975).

Almost surely, 2^712365731640 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 712365731640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176424797600).

712365731640 is an abundant number, since it is smaller than the sum of its proper divisors (1640483863560).

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

712365731640 is a wasteful number, since it uses less digits than its factorization.

712365731640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68766 (or 68759 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 712365731640 in words is "seven hundred twelve billion, three hundred sixty-five million, seven hundred thirty-one thousand, six hundred forty".