23827668480 has 1280 divisors, whose sum is σ = 109270149120. Its totient is φ = 4817387520.

The previous prime is 23827668463. The next prime is 23827668497. The reversal of 23827668480 is 8486672832.

23827668480 is a `hidden beast` number, since 2 + 38 + 2 + 76 + 68 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (23827668463) and next prime (23827668497).

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 643991022 + ... + 643991058.

It is an arithmetic number, because the mean of its divisors is an integer number (85367304).

Almost surely, 2^23827668480 is an apocalyptic number.

23827668480 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 23827668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54635074560).

23827668480 is an abundant number, since it is smaller than the sum of its proper divisors (85442480640).

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

23827668480 is an equidigital number, since it uses as much as digits as its factorization.

23827668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 23827668480 in words is "twenty-three billion, eight hundred twenty-seven million, six hundred sixty-eight thousand, four hundred eighty".