13963635840 has 768 divisors, whose sum is σ = 57466506240. Its totient is φ = 2851430400.

The previous prime is 13963635839. The next prime is 13963635853. The reversal of 13963635840 is 4853636931.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13963635840.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106592575 + ... + 106592705.

It is an arithmetic number, because the mean of its divisors is an integer number (74826180).

Almost surely, 2^13963635840 is an apocalyptic number.

13963635840 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 13963635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28733253120).

13963635840 is an abundant number, since it is smaller than the sum of its proper divisors (43502870400).

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

13963635840 is a wasteful number, since it uses less digits than its factorization.

13963635840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 13963635840 in words is "thirteen billion, nine hundred sixty-three million, six hundred thirty-five thousand, eight hundred forty".