7013587680 has 144 divisors (see below), whose sum is σ = 26109733104. Its totient is φ = 1700259840.

The previous prime is 7013587673. The next prime is 7013587703. The reversal of 7013587680 is 867853107.

7013587680 is a `hidden beast` number, since 7 + 0 + 1 + 3 + 587 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205549 + ... + 237228.

It is an arithmetic number, because the mean of its divisors is an integer number (181317591).

Almost surely, 2^7013587680 is an apocalyptic number.

It is an amenable number.

7013587680 is an abundant number, since it is smaller than the sum of its proper divisors (19096145424).

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

7013587680 is a wasteful number, since it uses less digits than its factorization.

7013587680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442809 (or 442798 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 7013587680 is about 83747.1652057549. The cubic root of 7013587680 is about 1914.1681112023.

The spelling of 7013587680 in words is "seven billion, thirteen million, five hundred eighty-seven thousand, six hundred eighty".