23400640800 has 360 divisors, whose sum is σ = 85673860272. Its totient is φ = 6215616000.

The previous prime is 23400640729. The next prime is 23400640801. The reversal of 23400640800 is 804600432.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (23400640801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 21448255 + ... + 21449345.

Almost surely, 2^23400640800 is an apocalyptic number.

23400640800 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 23400640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42836930136).

23400640800 is an abundant number, since it is smaller than the sum of its proper divisors (62273219472).

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

23400640800 is a wasteful number, since it uses less digits than its factorization.

23400640800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 23400640800 in words is "twenty-three billion, four hundred million, six hundred forty thousand, eight hundred".