13632252480 has 896 divisors, whose sum is σ = 61986078720. Its totient is φ = 2737152000.

The previous prime is 13632252457. The next prime is 13632252551. The reversal of 13632252480 is 8425223631.

13632252480 is a `hidden beast` number, since 1 + 36 + 3 + 22 + 524 + 80 = 666.

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 127 ways as a sum of consecutive naturals, for example, 20623350 + ... + 20624010.

Almost surely, 2^13632252480 is an apocalyptic number.

13632252480 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 13632252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30993039360).

13632252480 is an abundant number, since it is smaller than the sum of its proper divisors (48353826240).

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

13632252480 is a wasteful number, since it uses less digits than its factorization.

13632252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 13632252480 in words is "thirteen billion, six hundred thirty-two million, two hundred fifty-two thousand, four hundred eighty".