716673074880 has 672 divisors, whose sum is σ = 2820110549760. Its totient is φ = 153303736320.

The previous prime is 716673074867. The next prime is 716673074881. The reversal of 716673074880 is 88470376617.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 716673074880.

It is not an unprimeable number, because it can be changed into a prime (716673074881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74177250 + ... + 74186910.

It is an arithmetic number, because the mean of its divisors is an integer number (4196593080).

Almost surely, 2^716673074880 is an apocalyptic number.

716673074880 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 716673074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410055274880).

716673074880 is an abundant number, since it is smaller than the sum of its proper divisors (2103437474880).

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

716673074880 is a wasteful number, since it uses less digits than its factorization.

716673074880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9797 (or 9780 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 57.

The spelling of 716673074880 in words is "seven hundred sixteen billion, six hundred seventy-three million, seventy-four thousand, eight hundred eighty".