716138640 has 240 divisors, whose sum is σ = 2769751296. Its totient is φ = 162432000.

The previous prime is 716138639. The next prime is 716138653. The reversal of 716138640 is 46831617.

716138640 is a `hidden beast` number, since 7 + 1 + 6 + 1 + 3 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 716138595 and 716138604.

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, 760570 + ... + 761510.

Almost surely, 2^716138640 is an apocalyptic number.

716138640 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 716138640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384875648).

716138640 is an abundant number, since it is smaller than the sum of its proper divisors (2053612656).

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

716138640 is a wasteful number, since it uses less digits than its factorization.

716138640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 716138640 is about 26760.7668051571. The cubic root of 716138640 is about 894.6758248780.

The spelling of 716138640 in words is "seven hundred sixteen million, one hundred thirty-eight thousand, six hundred forty".