917712799920 has 640 divisors, whose sum is σ = 3813684480000. Its totient is φ = 198700314624.

The previous prime is 917712799919. The next prime is 917712799961. The reversal of 917712799920 is 29997217719.

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

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 127 ways as a sum of consecutive naturals, for example, 103703656 + ... + 103712504.

It is an arithmetic number, because the mean of its divisors is an integer number (5958882000).

Almost surely, 2^917712799920 is an apocalyptic number.

917712799920 is a gapful number since it is divisible by the number (90) 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 917712799920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906842240000).

917712799920 is an abundant number, since it is smaller than the sum of its proper divisors (2895971680080).

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

917712799920 is a wasteful number, since it uses less digits than its factorization.

917712799920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8935 (or 8885 counting only the distinct ones).

The product of its (nonzero) digits is 9001692, while the sum is 63.

The spelling of 917712799920 in words is "nine hundred seventeen billion, seven hundred twelve million, seven hundred ninety-nine thousand, nine hundred twenty".