23640422400 has 864 divisors, whose sum is σ = 101302110000. Its totient is φ = 5388042240.

The previous prime is 23640422369. The next prime is 23640422431. The reversal of 23640422400 is 422404632.

23640422400 is a `hidden beast` number, since 2 + 36 + 404 + 224 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23640422369) and next prime (23640422431).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67737426 + ... + 67737774.

Almost surely, 2^23640422400 is an apocalyptic number.

23640422400 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 23640422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50651055000).

23640422400 is an abundant number, since it is smaller than the sum of its proper divisors (77661687600).

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

23640422400 is a wasteful number, since it uses less digits than its factorization.

23640422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

It can be divided in two parts, 23640 and 422400, that added together give a triangular number (446040 = T₉₄₄).

The spelling of 23640422400 in words is "twenty-three billion, six hundred forty million, four hundred twenty-two thousand, four hundred".