716044499089920 has 3840 divisors, whose sum is σ = 3634718683115520. Its totient is φ = 130112461209600.

The previous prime is 716044499089819. The next prime is 716044499089943. The reversal of 716044499089920 is 29980994440617.

716044499089920 is a `hidden beast` number, since 7 + 1 + 6 + 0 + 4 + 449 + 90 + 8 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11831309260 + ... + 11831369780.

It is an arithmetic number, because the mean of its divisors is an integer number (946541323728).

Almost surely, 2^{716044499089920} is an apocalyptic number.

716044499089920 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 716044499089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817359341557760).

716044499089920 is an abundant number, since it is smaller than the sum of its proper divisors (2918674184025600).

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

716044499089920 is a wasteful number, since it uses less digits than its factorization.

716044499089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60609 (or 60581 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 716044499089920 in words is "seven hundred sixteen trillion, forty-four billion, four hundred ninety-nine million, eighty-nine thousand, nine hundred twenty".