13609442672640 has 544 divisors, whose sum is σ = 48519967636800. Its totient is φ = 3619348807680.

The previous prime is 13609442672633. The next prime is 13609442672803. The reversal of 13609442672640 is 4627624490631.

13609442672640 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 94 + 426 + 72 + 64 + 0 = 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 31 ways as a sum of consecutive naturals, for example, 3618568360 + ... + 3618572120.

Almost surely, 2^{13609442672640} is an apocalyptic number.

13609442672640 is a gapful number since it is divisible by the number (10) 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 13609442672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24259983818400).

13609442672640 is an abundant number, since it is smaller than the sum of its proper divisors (34910524964160).

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

13609442672640 is an frugal number, since it uses more digits than its factorization.

13609442672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4216 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 13609442672640 in words is "thirteen trillion, six hundred nine billion, four hundred forty-two million, six hundred seventy-two thousand, six hundred forty".