23279984640 has 336 divisors, whose sum is σ = 88050630096. Its totient is φ = 5642649600.

The previous prime is 23279984617. The next prime is 23279984641. The reversal of 23279984640 is 4648997232.

23279984640 is a `hidden beast` number, since 23 + 2 + 79 + 98 + 464 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23279984641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4052170 + ... + 4057910.

Almost surely, 2^23279984640 is an apocalyptic number.

23279984640 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 23279984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44025315048).

23279984640 is an abundant number, since it is smaller than the sum of its proper divisors (64770645456).

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

23279984640 is a wasteful number, since it uses less digits than its factorization.

23279984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5789 (or 5762 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 23279984640 in words is "twenty-three billion, two hundred seventy-nine million, nine hundred eighty-four thousand, six hundred forty".