6986211264 has 84 divisors (see below), whose sum is σ = 20065355856. Its totient is φ = 2324011008.

The previous prime is 6986211259. The next prime is 6986211293. The reversal of 6986211264 is 4621126896.

6986211264 is a `hidden beast` number, since 6 + 9 + 8 + 621 + 12 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277672 + ... + 301784.

It is an arithmetic number, because the mean of its divisors is an integer number (238873284).

Almost surely, 2^6986211264 is an apocalyptic number.

6986211264 is a gapful number since it is divisible by the number (64) 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 6986211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10032677928).

6986211264 is an abundant number, since it is smaller than the sum of its proper divisors (13079144592).

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

6986211264 is a wasteful number, since it uses less digits than its factorization.

6986211264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24634 (or 24621 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 6986211264 is about 83583.5585746383. The cubic root of 6986211264 is about 1911.6743141396.

The spelling of 6986211264 in words is "six billion, nine hundred eighty-six million, two hundred eleven thousand, two hundred sixty-four".