6997936512 has 256 divisors, whose sum is σ = 22680230400. Its totient is φ = 1867235328.

The previous prime is 6997936511. The next prime is 6997936529. The reversal of 6997936512 is 2156397996.

It is a super-2 number, since 2×6997936512² = 97942230851965452288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6997936511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3727318 + ... + 3729194.

It is an arithmetic number, because the mean of its divisors is an integer number (88594650).

Almost surely, 2^6997936512 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 6997936512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11340115200).

6997936512 is an abundant number, since it is smaller than the sum of its proper divisors (15682293888).

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

6997936512 is a wasteful number, since it uses less digits than its factorization.

6997936512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993 (or 1981 counting only the distinct ones).

The product of its digits is 5511240, while the sum is 57.

The square root of 6997936512 is about 83653.6700450136. The cubic root of 6997936512 is about 1912.7431971309.

It can be divided in two parts, 69979 and 36512, that added together give a triangular number (106491 = T₄₆₁).

The spelling of 6997936512 in words is "six billion, nine hundred ninety-seven million, nine hundred thirty-six thousand, five hundred twelve".