718076038680 has 2560 divisors, whose sum is σ = 3503311257600. Its totient is φ = 126978969600.

The previous prime is 718076038663. The next prime is 718076038733. The reversal of 718076038680 is 86830670817.

718076038680 is a `hidden beast` number, since 7 + 180 + 7 + 6 + 0 + 386 + 80 = 666.

It is a super-2 number, since 2×718076038680² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 2649726945 + ... + 2649727215.

It is an arithmetic number, because the mean of its divisors is an integer number (1368480960).

Almost surely, 2^718076038680 is an apocalyptic number.

718076038680 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 718076038680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751655628800).

718076038680 is an abundant number, since it is smaller than the sum of its proper divisors (2785235218920).

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

718076038680 is a wasteful number, since it uses less digits than its factorization.

718076038680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 718076038680 in words is "seven hundred eighteen billion, seventy-six million, thirty-eight thousand, six hundred eighty".