23867761320 has 768 divisors, whose sum is σ = 94311060480. Its totient is φ = 5374771200.

The previous prime is 23867761261. The next prime is 23867761339. The reversal of 23867761320 is 2316776832.

23867761320 is a `hidden beast` number, since 2 + 3 + 8 + 6 + 7 + 7 + 613 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 88072785 + ... + 88073055.

It is an arithmetic number, because the mean of its divisors is an integer number (122800860).

Almost surely, 2^23867761320 is an apocalyptic number.

23867761320 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 23867761320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47155530240).

23867761320 is an abundant number, since it is smaller than the sum of its proper divisors (70443299160).

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

23867761320 is a wasteful number, since it uses less digits than its factorization.

23867761320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 23867761320 in words is "twenty-three billion, eight hundred sixty-seven million, seven hundred sixty-one thousand, three hundred twenty".