23782721040 has 840 divisors, whose sum is σ = 95241047040. Its totient is φ = 5502422016.

The previous prime is 23782721003. The next prime is 23782721063. The reversal of 23782721040 is 4012728732.

23782721040 is a `hidden beast` number, since 2 + 378 + 272 + 10 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23782720986 and 23782721004.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 187265457 + ... + 187265583.

Almost surely, 2^23782721040 is an apocalyptic number.

23782721040 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 23782721040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47620523520).

23782721040 is an abundant number, since it is smaller than the sum of its proper divisors (71458326000).

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

23782721040 is a wasteful number, since it uses less digits than its factorization.

23782721040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 23782721040 in words is "twenty-three billion, seven hundred eighty-two million, seven hundred twenty-one thousand, forty".