13074638640 has 320 divisors, whose sum is σ = 47954073600. Its totient is φ = 2945080320.

The previous prime is 13074638597. The next prime is 13074638659. The reversal of 13074638640 is 4683647031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 13074638592 and 13074638601.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5843602 + ... + 5845838.

It is an arithmetic number, because the mean of its divisors is an integer number (149856480).

Almost surely, 2^13074638640 is an apocalyptic number.

13074638640 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 13074638640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23977036800).

13074638640 is an abundant number, since it is smaller than the sum of its proper divisors (34879434960).

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

13074638640 is a wasteful number, since it uses less digits than its factorization.

13074638640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 13074638640 in words is "thirteen billion, seventy-four million, six hundred thirty-eight thousand, six hundred forty".