923313613680 has 240 divisors, whose sum is σ = 3237088098816. Its totient is φ = 235404449280.

The previous prime is 923313613633. The next prime is 923313613693. The reversal of 923313613680 is 86316313329.

923313613680 is a `hidden beast` number, since 9 + 23 + 3 + 1 + 3 + 613 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40113375 + ... + 40136385.

Almost surely, 2^923313613680 is an apocalyptic number.

923313613680 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 923313613680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618544049408).

923313613680 is an abundant number, since it is smaller than the sum of its proper divisors (2313774485136).

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

923313613680 is a wasteful number, since it uses less digits than its factorization.

923313613680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25476 (or 25467 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 923313613680 in words is "nine hundred twenty-three billion, three hundred thirteen million, six hundred thirteen thousand, six hundred eighty".