23744108640672 has 1440 divisors, whose sum is σ = 85381202934720. Its totient is φ = 6448023429120.

The previous prime is 23744108640649. The next prime is 23744108640691. The reversal of 23744108640672 is 27604680144732.

23744108640672 is a `hidden beast` number, since 23 + 7 + 44 + 108 + 6 + 406 + 72 = 666.

It is a super-3 number, since 3×23744108640672³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 62649362979 + ... + 62649363357.

It is an arithmetic number, because the mean of its divisors is an integer number (59292502038).

Almost surely, 2^{23744108640672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23744108640672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42690601467360).

23744108640672 is an abundant number, since it is smaller than the sum of its proper divisors (61637094294048).

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

23744108640672 is a wasteful number, since it uses less digits than its factorization.

23744108640672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 23744108640672 in words is "twenty-three trillion, seven hundred forty-four billion, one hundred eight million, six hundred forty thousand, six hundred seventy-two".