712680135516 has 72 divisors (see below), whose sum is σ = 1829622172560. Its totient is φ = 233856032256.

The previous prime is 712680135511. The next prime is 712680135539. The reversal of 712680135516 is 615531086217.

712680135516 is a `hidden beast` number, since 7 + 1 + 2 + 6 + 80 + 13 + 551 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712680135511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3492250 + ... + 3690686.

Almost surely, 2^712680135516 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 712680135516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914811086280).

712680135516 is an abundant number, since it is smaller than the sum of its proper divisors (1116942037044).

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

712680135516 is a wasteful number, since it uses less digits than its factorization.

712680135516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200003 (or 199998 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 712680135516 in words is "seven hundred twelve billion, six hundred eighty million, one hundred thirty-five thousand, five hundred sixteen".