13270632480 has 576 divisors, whose sum is σ = 56105457408. Its totient is φ = 2786918400.

The previous prime is 13270632469. The next prime is 13270632499. The reversal of 13270632480 is 8423607231.

It is a happy number.

13270632480 is a `hidden beast` number, since 1 + 327 + 0 + 6 + 324 + 8 + 0 = 666.

It is a super-2 number, since 2×13270632480² (a number of 21 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 7367580 + ... + 7369380.

It is an arithmetic number, because the mean of its divisors is an integer number (97405308).

Almost surely, 2^13270632480 is an apocalyptic number.

13270632480 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 13270632480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28052728704).

13270632480 is an abundant number, since it is smaller than the sum of its proper divisors (42834824928).

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

13270632480 is a wasteful number, since it uses less digits than its factorization.

13270632480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1878 counting only the distinct ones).

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

The spelling of 13270632480 in words is "thirteen billion, two hundred seventy million, six hundred thirty-two thousand, four hundred eighty".