23696640000 has 1080 divisors, whose sum is σ = 99534224790. Its totient is φ = 5406720000.

The previous prime is 23696639977. The next prime is 23696640067. The reversal of 23696640000 is 4669632.

23696640000 is a `hidden beast` number, since 2 + 3 + 6 + 9 + 6 + 640 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 1526621184 + 22170018816 = 39072^2 + 148896^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1393919992 + ... + 1393920008.

Almost surely, 2^23696640000 is an apocalyptic number.

23696640000 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 23696640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49767112395).

23696640000 is an abundant number, since it is smaller than the sum of its proper divisors (75837584790).

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

23696640000 is a wasteful number, since it uses less digits than its factorization.

23696640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 23696640000 in words is "twenty-three billion, six hundred ninety-six million, six hundred forty thousand".