3623843266560 has 1520 divisors, whose sum is σ = 14798986234560. Its totient is φ = 840286863360.

The previous prime is 3623843266553. The next prime is 3623843266573. The reversal of 3623843266560 is 656623483263.

3623843266560 is a `hidden beast` number, since 3 + 6 + 2 + 38 + 43 + 2 + 6 + 6 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3623843266497 and 3623843266506.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33867694027 + ... + 33867694133.

Almost surely, 2^{3623843266560} is an apocalyptic number.

3623843266560 is a gapful number since it is divisible by the number (30) 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 3623843266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399493117280).

3623843266560 is an abundant number, since it is smaller than the sum of its proper divisors (11175142968000).

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

3623843266560 is an equidigital number, since it uses as much as digits as its factorization.

3623843266560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 3623843266560 in words is "three trillion, six hundred twenty-three billion, eight hundred forty-three million, two hundred sixty-six thousand, five hundred sixty".