13973480640 has 896 divisors, whose sum is σ = 60394291200. Its totient is φ = 2972712960.

The previous prime is 13973480629. The next prime is 13973480659. The reversal of 13973480640 is 4608437931.

It is a super-2 number, since 2×13973480640² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54371392 + ... + 54371648.

Almost surely, 2^13973480640 is an apocalyptic number.

13973480640 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 13973480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30197145600).

13973480640 is an abundant number, since it is smaller than the sum of its proper divisors (46420810560).

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

13973480640 is a wasteful number, since it uses less digits than its factorization.

13973480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13973480640 in words is "thirteen billion, nine hundred seventy-three million, four hundred eighty thousand, six hundred forty".