716624149404672 has 704 divisors, whose sum is σ = 2233398182400000. Its totient is φ = 226688792002560.

The previous prime is 716624149404661. The next prime is 716624149404689. The reversal of 716624149404672 is 276404941426617.

716624149404672 is a `hidden beast` number, since 7 + 1 + 6 + 6 + 24 + 149 + 4 + 0 + 467 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20682373204 + ... + 20682407852.

It is an arithmetic number, because the mean of its divisors is an integer number (3172440600000).

Almost surely, 2^{716624149404672} is an apocalyptic number.

716624149404672 is a gapful number since it is divisible by the number (72) 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 716624149404672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116699091200000).

716624149404672 is an abundant number, since it is smaller than the sum of its proper divisors (1516774032995328).

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

716624149404672 is a wasteful number, since it uses less digits than its factorization.

716624149404672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35177 (or 35153 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 716624149404672 in words is "seven hundred sixteen trillion, six hundred twenty-four billion, one hundred forty-nine million, four hundred four thousand, six hundred seventy-two".