712381646340 has 960 divisors, whose sum is σ = 2906936524800. Its totient is φ = 141820056576.

The previous prime is 712381646303. The next prime is 712381646351. The reversal of 712381646340 is 43646183217.

712381646340 is a `hidden beast` number, since 7 + 1 + 2 + 3 + 8 + 1 + 6 + 4 + 634 + 0 = 666.

It is a super-2 number, since 2×712381646340² (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 an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1173610317 + ... + 1173610923.

It is an arithmetic number, because the mean of its divisors is an integer number (3028058880).

Almost surely, 2^712381646340 is an apocalyptic number.

712381646340 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 712381646340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453468262400).

712381646340 is an abundant number, since it is smaller than the sum of its proper divisors (2194554878460).

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

712381646340 is a wasteful number, since it uses less digits than its factorization.

712381646340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 712381646340 in words is "seven hundred twelve billion, three hundred eighty-one million, six hundred forty-six thousand, three hundred forty".