23790364416 has 576 divisors, whose sum is σ = 87633638400. Its totient is φ = 6198902784.

The previous prime is 23790364399. The next prime is 23790364447. The reversal of 23790364416 is 61446309732.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68559955 + ... + 68560301.

Almost surely, 2^23790364416 is an apocalyptic number.

23790364416 is a gapful number since it is divisible by the number (26) 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 23790364416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43816819200).

23790364416 is an abundant number, since it is smaller than the sum of its proper divisors (63843273984).

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

23790364416 is a wasteful number, since it uses less digits than its factorization.

23790364416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 23790364416 in words is "twenty-three billion, seven hundred ninety million, three hundred sixty-four thousand, four hundred sixteen".