13627673280 has 1008 divisors, whose sum is σ = 56646311904. Its totient is φ = 3105423360.

The previous prime is 13627673261. The next prime is 13627673299. The reversal of 13627673280 is 8237672631.

13627673280 is a `hidden beast` number, since 1 + 36 + 276 + 73 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (13627673261) and next prime (13627673299).

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 143 ways as a sum of consecutive naturals, for example, 223404450 + ... + 223404510.

It is an arithmetic number, because the mean of its divisors is an integer number (56196738).

Almost surely, 2^13627673280 is an apocalyptic number.

13627673280 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 13627673280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28323155952).

13627673280 is an abundant number, since it is smaller than the sum of its proper divisors (43018638624).

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

13627673280 is a wasteful number, since it uses less digits than its factorization.

13627673280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 13627673280 in words is "thirteen billion, six hundred twenty-seven million, six hundred seventy-three thousand, two hundred eighty".