23779517440 has 352 divisors, whose sum is σ = 68339013120. Its totient is φ = 7767588864.

The previous prime is 23779517423. The next prime is 23779517441. The reversal of 23779517440 is 4471597732.

It is not an unprimeable number, because it can be changed into a prime (23779517441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142392237 + ... + 142392403.

Almost surely, 2^23779517440 is an apocalyptic number.

23779517440 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 23779517440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34169506560).

23779517440 is an abundant number, since it is smaller than the sum of its proper divisors (44559495680).

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

23779517440 is a wasteful number, since it uses less digits than its factorization.

23779517440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 49.

The spelling of 23779517440 in words is "twenty-three billion, seven hundred seventy-nine million, five hundred seventeen thousand, four hundred forty".