23627780352 has 648 divisors, whose sum is σ = 80548660192. Its totient is φ = 6897623040.

The previous prime is 23627780317. The next prime is 23627780359. The reversal of 23627780352 is 25308772632.

23627780352 is a `hidden beast` number, since 23 + 6 + 277 + 8 + 0 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a junction number, because it is equal to n+sod(n) for n = 23627780298 and 23627780307.

It is not an unprimeable number, because it can be changed into a prime (23627780359) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 323668188 + ... + 323668260.

Almost surely, 2^23627780352 is an apocalyptic number.

23627780352 is a gapful number since it is divisible by the number (22) 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 23627780352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40274330096).

23627780352 is an abundant number, since it is smaller than the sum of its proper divisors (56920879840).

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

23627780352 is an equidigital number, since it uses as much as digits as its factorization.

23627780352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 23627780352 in words is "twenty-three billion, six hundred twenty-seven million, seven hundred eighty thousand, three hundred fifty-two".