716624240640 has 1792 divisors, whose sum is σ = 3098227138560. Its totient is φ = 137027911680.

The previous prime is 716624240627. The next prime is 716624240693. The reversal of 716624240640 is 46042426617.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 716624240592 and 716624240601.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8051957716 + ... + 8051957804.

Almost surely, 2^716624240640 is an apocalyptic number.

716624240640 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 716624240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549113569280).

716624240640 is an abundant number, since it is smaller than the sum of its proper divisors (2381602897920).

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

716624240640 is a wasteful number, since it uses less digits than its factorization.

716624240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 716624240640 in words is "seven hundred sixteen billion, six hundred twenty-four million, two hundred forty thousand, six hundred forty".