23749649280 has 512 divisors, whose sum is σ = 98115840000. Its totient is φ = 5427136512.

The previous prime is 23749649263. The next prime is 23749649309. The reversal of 23749649280 is 8294694732.

23749649280 is a `hidden beast` number, since 2 + 3 + 74 + 9 + 6 + 492 + 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5925037 + ... + 5929043.

It is an arithmetic number, because the mean of its divisors is an integer number (191632500).

Almost surely, 2^23749649280 is an apocalyptic number.

23749649280 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 23749649280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49057920000).

23749649280 is an abundant number, since it is smaller than the sum of its proper divisors (74366190720).

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

23749649280 is an equidigital number, since it uses as much as digits as its factorization.

23749649280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4024 counting only the distinct ones).

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

The spelling of 23749649280 in words is "twenty-three billion, seven hundred forty-nine million, six hundred forty-nine thousand, two hundred eighty".