6981585264 has 320 divisors, whose sum is σ = 21893836800. Its totient is φ = 2122848000.

The previous prime is 6981585253. The next prime is 6981585293. The reversal of 6981585264 is 4625851896.

6981585264 is a `hidden beast` number, since 69 + 8 + 1 + 58 + 526 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6981585264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46235589 + ... + 46235739.

It is an arithmetic number, because the mean of its divisors is an integer number (68418240).

Almost surely, 2^6981585264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6981585264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10946918400).

6981585264 is an abundant number, since it is smaller than the sum of its proper divisors (14912251536).

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

6981585264 is a wasteful number, since it uses less digits than its factorization.

6981585264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 349 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The square root of 6981585264 is about 83555.8810856543. The cubic root of 6981585264 is about 1911.2522752746.

The spelling of 6981585264 in words is "six billion, nine hundred eighty-one million, five hundred eighty-five thousand, two hundred sixty-four".