23763358080 has 768 divisors, whose sum is σ = 103338892800. Its totient is φ = 4888166400.

The previous prime is 23763358033. The next prime is 23763358097. The reversal of 23763358080 is 8085336732.

23763358080 is a `hidden beast` number, since 2 + 3 + 7 + 63 + 3 + 580 + 8 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 58100916 + ... + 58101324.

It is an arithmetic number, because the mean of its divisors is an integer number (134555850).

Almost surely, 2^23763358080 is an apocalyptic number.

23763358080 is a gapful number since it is divisible by the number (20) 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 23763358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51669446400).

23763358080 is an abundant number, since it is smaller than the sum of its proper divisors (79575534720).

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

23763358080 is a wasteful number, since it uses less digits than its factorization.

23763358080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 23763358080 in words is "twenty-three billion, seven hundred sixty-three million, three hundred fifty-eight thousand, eighty".