13643700480 has 288 divisors, whose sum is σ = 49547541120. Its totient is φ = 3553320960.

The previous prime is 13643700479. The next prime is 13643700559. The reversal of 13643700480 is 8400734631.

13643700480 is a `hidden beast` number, since 1 + 3 + 643 + 7 + 0 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1481490 + ... + 1490670.

Almost surely, 2^13643700480 is an apocalyptic number.

13643700480 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 13643700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24773770560).

13643700480 is an abundant number, since it is smaller than the sum of its proper divisors (35903840640).

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

13643700480 is an equidigital number, since it uses as much as digits as its factorization.

13643700480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9254 (or 9234 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 13643700480 in words is "thirteen billion, six hundred forty-three million, seven hundred thousand, four hundred eighty".