6961317888 has 288 divisors, whose sum is σ = 22743957600. Its totient is φ = 1882718208.

The previous prime is 6961317827. The next prime is 6961317919. The reversal of 6961317888 is 8887131696.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 5719456 + ... + 5720672.

It is an arithmetic number, because the mean of its divisors is an integer number (78972075).

Almost surely, 2^6961317888 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 6961317888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11371978800).

6961317888 is an abundant number, since it is smaller than the sum of its proper divisors (15782639712).

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

6961317888 is a wasteful number, since it uses less digits than its factorization.

6961317888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1248 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 57.

The square root of 6961317888 is about 83434.5125712376. The cubic root of 6961317888 is about 1909.4010427875.

The spelling of 6961317888 in words is "six billion, nine hundred sixty-one million, three hundred seventeen thousand, eight hundred eighty-eight".