716712000480 has 864 divisors, whose sum is σ = 3030471662400. Its totient is φ = 154152714240.

The previous prime is 716712000443. The next prime is 716712000491. The reversal of 716712000480 is 84000217617.

716712000480 is a `hidden beast` number, since 7 + 167 + 12 + 0 + 0 + 0 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 142740370 + ... + 142745390.

It is an arithmetic number, because the mean of its divisors is an integer number (3507490350).

Almost surely, 2^716712000480 is an apocalyptic number.

716712000480 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 716712000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515235831200).

716712000480 is an abundant number, since it is smaller than the sum of its proper divisors (2313759661920).

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

716712000480 is a wasteful number, since it uses less digits than its factorization.

716712000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5097 (or 5055 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 716712000480 in words is "seven hundred sixteen billion, seven hundred twelve million, four hundred eighty", and thus it is an aban number.