712673008632 has 256 divisors, whose sum is σ = 2234381184000. Its totient is φ = 208829643264.

The previous prime is 712673008627. The next prime is 712673008637. The reversal of 712673008632 is 236800376217.

712673008632 is a `hidden beast` number, since 7 + 1 + 2 + 6 + 7 + 3 + 0 + 0 + 8 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (712673008627) and next prime (712673008637).

It is a super-2 number, since 2×712673008632² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712673008637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14765643 + ... + 14813829.

It is an arithmetic number, because the mean of its divisors is an integer number (8728051500).

Almost surely, 2^712673008632 is an apocalyptic number.

712673008632 is a gapful number since it is divisible by the number (72) 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 712673008632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117190592000).

712673008632 is an abundant number, since it is smaller than the sum of its proper divisors (1521708175368).

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

712673008632 is a wasteful number, since it uses less digits than its factorization.

712673008632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48467 (or 48457 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 712673008632 in words is "seven hundred twelve billion, six hundred seventy-three million, eight thousand, six hundred thirty-two".