716834955564 has 1296 divisors, whose sum is σ = 2644357847040. Its totient is φ = 159152947200.

The previous prime is 716834955481. The next prime is 716834955587. The reversal of 716834955564 is 465559438617.

It is a happy number.

716834955564 is a `hidden beast` number, since 7 + 1 + 6 + 83 + 495 + 5 + 5 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (108864000) is a multiple of the sum of its prime factors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 17483779384 + ... + 17483779424.

Almost surely, 2^716834955564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 716834955564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322178923520).

716834955564 is an abundant number, since it is smaller than the sum of its proper divisors (1927522891476).

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

716834955564 is a wasteful number, since it uses less digits than its factorization.

716834955564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 133 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 716834955564 in words is "seven hundred sixteen billion, eight hundred thirty-four million, nine hundred fifty-five thousand, five hundred sixty-four".