13797679968 has 144 divisors (see below), whose sum is σ = 41149639440. Its totient is φ = 4547321856.

The previous prime is 13797679957. The next prime is 13797679979. The reversal of 13797679968 is 86997679731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13797679957) and next prime (13797679979).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 13797679896 and 13797679905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 682096 + ... + 702032.

It is an arithmetic number, because the mean of its divisors is an integer number (285761385).

Almost surely, 2^13797679968 is an apocalyptic number.

13797679968 is a gapful number since it is divisible by the number (18) 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 13797679968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20574819720).

13797679968 is an abundant number, since it is smaller than the sum of its proper divisors (27351959472).

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

13797679968 is an equidigital number, since it uses as much as digits as its factorization.

13797679968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20051 (or 20031 counting only the distinct ones).

The product of its digits is 216040608, while the sum is 72.

The spelling of 13797679968 in words is "thirteen billion, seven hundred ninety-seven million, six hundred seventy-nine thousand, nine hundred sixty-eight".