23978034720 has 336 divisors, whose sum is σ = 85385710872. Its totient is φ = 6360145920.

The previous prime is 23978034673. The next prime is 23978034737. The reversal of 23978034720 is 2743087932.

23978034720 is a `hidden beast` number, since 239 + 78 + 0 + 347 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16268492304 + 7709542416 = 127548^2 + 87804^2 .

It is a super-2 number, since 2×23978034720² (a number of 22 digits) contains 22 as substring.

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 55 ways as a sum of consecutive naturals, for example, 28109814 + ... + 28110666.

Almost surely, 2^23978034720 is an apocalyptic number.

23978034720 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 23978034720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42692855436).

23978034720 is an abundant number, since it is smaller than the sum of its proper divisors (61407676152).

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

23978034720 is an equidigital number, since it uses as much as digits as its factorization.

23978034720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1104 counting only the distinct ones).

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

The spelling of 23978034720 in words is "twenty-three billion, nine hundred seventy-eight million, thirty-four thousand, seven hundred twenty".