23206478400 has 1008 divisors, whose sum is σ = 103766721600. Its totient is φ = 5016453120.

The previous prime is 23206478377. The next prime is 23206478401. The reversal of 23206478400 is 487460232.

23206478400 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 647 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23206478401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40218912 + ... + 40219488.

Almost surely, 2^23206478400 is an apocalyptic number.

23206478400 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 23206478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51883360800).

23206478400 is an abundant number, since it is smaller than the sum of its proper divisors (80560243200).

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

23206478400 is a wasteful number, since it uses less digits than its factorization.

23206478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 23206478400 in words is "twenty-three billion, two hundred six million, four hundred seventy-eight thousand, four hundred".