23400425664 has 336 divisors, whose sum is σ = 86725207296. Its totient is φ = 6077721600.

The previous prime is 23400425627. The next prime is 23400425677. The reversal of 23400425664 is 46652400432.

23400425664 is a `hidden beast` number, since 2 + 340 + 0 + 4 + 256 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1187734 + ... + 1207274.

It is an arithmetic number, because the mean of its divisors is an integer number (258110736).

Almost surely, 2^23400425664 is an apocalyptic number.

23400425664 is a gapful number since it is divisible by the number (24) 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 23400425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43362603648).

23400425664 is an abundant number, since it is smaller than the sum of its proper divisors (63324781632).

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

23400425664 is a wasteful number, since it uses less digits than its factorization.

23400425664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19586 (or 19564 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 23400425664 in words is "twenty-three billion, four hundred million, four hundred twenty-five thousand, six hundred sixty-four".