23729264496 has 960 divisors, whose sum is σ = 90868469760. Its totient is φ = 5875752960.

The previous prime is 23729264491. The next prime is 23729264561. The reversal of 23729264496 is 69446292732.

23729264496 is a `hidden beast` number, since 2 + 3 + 7 + 2 + 92 + 64 + 496 = 666.

It is a super-2 number, since 2×23729264496² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23729264491) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 389004306 + ... + 389004366.

It is an arithmetic number, because the mean of its divisors is an integer number (94654656).

Almost surely, 2^23729264496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23729264496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45434234880).

23729264496 is an abundant number, since it is smaller than the sum of its proper divisors (67139205264).

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

23729264496 is a wasteful number, since it uses less digits than its factorization.

23729264496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 160 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 23729264496 in words is "twenty-three billion, seven hundred twenty-nine million, two hundred sixty-four thousand, four hundred ninety-six".