716849602560 has 1792 divisors, whose sum is σ = 3329235302400. Its totient is φ = 142010744832.

The previous prime is 716849602523. The next prime is 716849602561. The reversal of 716849602560 is 65206948617.

716849602560 is a `hidden beast` number, since 7 + 16 + 8 + 4 + 9 + 60 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 716849602497 and 716849602506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (716849602561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1710858031 + ... + 1710858449.

It is an arithmetic number, because the mean of its divisors is an integer number (1857832200).

Almost surely, 2^716849602560 is an apocalyptic number.

716849602560 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 716849602560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664617651200).

716849602560 is an abundant number, since it is smaller than the sum of its proper divisors (2612385699840).

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

716849602560 is a wasteful number, since it uses less digits than its factorization.

716849602560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 716849602560 in words is "seven hundred sixteen billion, eight hundred forty-nine million, six hundred two thousand, five hundred sixty".