13675140672 has 56 divisors (see below), whose sum is σ = 36502396896. Its totient is φ = 4518033408.

The previous prime is 13675140653. The next prime is 13675140691. The reversal of 13675140672 is 27604157631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13675140653) and next prime (13675140691).

It is a super-3 number, since 3×13675140672³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 293458 + ... + 336849.

It is an arithmetic number, because the mean of its divisors is an integer number (651828516).

Almost surely, 2^13675140672 is an apocalyptic number.

13675140672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13675140672 is an abundant number, since it is smaller than the sum of its proper divisors (22827256224).

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

13675140672 is a wasteful number, since it uses less digits than its factorization.

13675140672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630435 (or 630425 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 13675140672 in words is "thirteen billion, six hundred seventy-five million, one hundred forty thousand, six hundred seventy-two".