13007947680 has 1152 divisors, whose sum is σ = 59363539200. Its totient is φ = 2633637888.

The previous prime is 13007947679. The next prime is 13007947703. The reversal of 13007947680 is 8674970031.

13007947680 is a `hidden beast` number, since 1 + 30 + 0 + 79 + 476 + 80 = 666.

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 191 ways as a sum of consecutive naturals, for example, 79803279 + ... + 79803441.

It is an arithmetic number, because the mean of its divisors is an integer number (51530850).

Almost surely, 2^13007947680 is an apocalyptic number.

13007947680 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 13007947680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29681769600).

13007947680 is an abundant number, since it is smaller than the sum of its proper divisors (46355591520).

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

13007947680 is a wasteful number, since it uses less digits than its factorization.

13007947680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 13007947680 in words is "thirteen billion, seven million, nine hundred forty-seven thousand, six hundred eighty".