23745200647680 has 1600 divisors, whose sum is σ = 90350102937600. Its totient is φ = 5948510109696.

The previous prime is 23745200647667. The next prime is 23745200647681. The reversal of 23745200647680 is 8674600254732.

23745200647680 is a `hidden beast` number, since 2 + 3 + 74 + 5 + 20 + 0 + 6 + 476 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23745200647681) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 119322616221 + ... + 119322616419.

It is an arithmetic number, because the mean of its divisors is an integer number (56468814336).

Almost surely, 2^{23745200647680} is an apocalyptic number.

23745200647680 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 23745200647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45175051468800).

23745200647680 is an abundant number, since it is smaller than the sum of its proper divisors (66604902289920).

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

23745200647680 is a wasteful number, since it uses less digits than its factorization.

23745200647680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 23745200647680 in words is "twenty-three trillion, seven hundred forty-five billion, two hundred million, six hundred forty-seven thousand, six hundred eighty".