23678983616400 has 4320 divisors, whose sum is σ = 114681688116480. Its totient is φ = 4601480970240.

The previous prime is 23678983616399. The next prime is 23678983616459. The reversal of 23678983616400 is 461638987632.

23678983616400 is a `hidden beast` number, since 2 + 3 + 6 + 7 + 8 + 9 + 8 + 3 + 616 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 74697109042 + ... + 74697109358.

It is an arithmetic number, because the mean of its divisors is an integer number (26546687064).

Almost surely, 2^{23678983616400} is an apocalyptic number.

23678983616400 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 23678983616400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57340844058240).

23678983616400 is an abundant number, since it is smaller than the sum of its proper divisors (91002704500080).

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

23678983616400 is a wasteful number, since it uses less digits than its factorization.

23678983616400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 23678983616400 in words is "twenty-three trillion, six hundred seventy-eight billion, nine hundred eighty-three million, six hundred sixteen thousand, four hundred".