913643608320 has 864 divisors, whose sum is σ = 3351286149120. Its totient is φ = 238281523200.

The previous prime is 913643608313. The next prime is 913643608349. The reversal of 913643608320 is 23806346319.

913643608320 is a `hidden beast` number, since 9 + 1 + 3 + 6 + 4 + 3 + 608 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3989709966 + ... + 3989710194.

Almost surely, 2^913643608320 is an apocalyptic number.

913643608320 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 913643608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675643074560).

913643608320 is an abundant number, since it is smaller than the sum of its proper divisors (2437642540800).

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

913643608320 is a wasteful number, since it uses less digits than its factorization.

913643608320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 913643608320 in words is "nine hundred thirteen billion, six hundred forty-three million, six hundred eight thousand, three hundred twenty".