13793379840 has 560 divisors, whose sum is σ = 52328905200. Its totient is φ = 3475685376.

The previous prime is 13793379839. The next prime is 13793379851. The reversal of 13793379840 is 4897339731.

It is a happy number.

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 55 ways as a sum of consecutive naturals, for example, 35458366 + ... + 35458754.

Almost surely, 2^13793379840 is an apocalyptic number.

13793379840 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 13793379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26164452600).

13793379840 is an abundant number, since it is smaller than the sum of its proper divisors (38535525360).

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

13793379840 is an frugal number, since it uses more digits than its factorization.

13793379840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 13793379840 in words is "thirteen billion, seven hundred ninety-three million, three hundred seventy-nine thousand, eight hundred forty".