716338056000 has 1344 divisors, whose sum is σ = 2871380738304. Its totient is φ = 156764160000.

The previous prime is 716338055971. The next prime is 716338056001. The reversal of 716338056000 is 650833617.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 716338056000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (716338056001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4394711919 + ... + 4394712081.

Almost surely, 2^716338056000 is an apocalyptic number.

716338056000 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 716338056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435690369152).

716338056000 is an abundant number, since it is smaller than the sum of its proper divisors (2155042682304).

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

716338056000 is a wasteful number, since it uses less digits than its factorization.

716338056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

Adding to 716338056000 its reverse (650833617), we get a palindrome (716988889617).

The spelling of 716338056000 in words is "seven hundred sixteen billion, three hundred thirty-eight million, fifty-six thousand".