916568000640 has 192 divisors, whose sum is σ = 3175339527360. Its totient is φ = 243621513216.

The previous prime is 916568000603. The next prime is 916568000713. The reversal of 916568000640 is 46000865619.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 1509157 + ... + 2027483.

It is an arithmetic number, because the mean of its divisors is an integer number (16538226705).

Almost surely, 2^916568000640 is an apocalyptic number.

916568000640 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 916568000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587669763680).

916568000640 is an abundant number, since it is smaller than the sum of its proper divisors (2258771526720).

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

916568000640 is a wasteful number, since it uses less digits than its factorization.

916568000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518659 (or 518644 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 916568000640 in words is "nine hundred sixteen billion, five hundred sixty-eight million, six hundred forty", and thus it is an aban number.