23730576480 has 480 divisors, whose sum is σ = 91331833824. Its totient is φ = 5767593984.

The previous prime is 23730576479. The next prime is 23730576481. The reversal of 23730576480 is 8467503732.

23730576480 is a `hidden beast` number, since 2 + 3 + 7 + 30 + 576 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23730576479) and next prime (23730576481).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23730576481) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 13982992 + ... + 13984688.

Almost surely, 2^23730576480 is an apocalyptic number.

23730576480 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 23730576480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45665916912).

23730576480 is an abundant number, since it is smaller than the sum of its proper divisors (67601257344).

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

23730576480 is a wasteful number, since it uses less digits than its factorization.

23730576480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 23730576480 in words is "twenty-three billion, seven hundred thirty million, five hundred seventy-six thousand, four hundred eighty".