13370432624640 has 2304 divisors, whose sum is σ = 59715544412160. Its totient is φ = 2793925509120.

The previous prime is 13370432624623. The next prime is 13370432624641. The reversal of 13370432624640 is 4642623407331.

13370432624640 is a `hidden beast` number, since 1 + 3 + 370 + 4 + 32 + 6 + 246 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13370432624641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31021885225 + ... + 31021885655.

It is an arithmetic number, because the mean of its divisors is an integer number (25918205040).

Almost surely, 2^{13370432624640} is an apocalyptic number.

13370432624640 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 13370432624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29857772206080).

13370432624640 is an abundant number, since it is smaller than the sum of its proper divisors (46345111787520).

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

13370432624640 is a wasteful number, since it uses less digits than its factorization.

13370432624640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 13370432624640 in words is "thirteen trillion, three hundred seventy billion, four hundred thirty-two million, six hundred twenty-four thousand, six hundred forty".