6996006760 has 32 divisors (see below), whose sum is σ = 15745985640. Its totient is φ = 2797519104.

The previous prime is 6996006749. The next prime is 6996006767. The reversal of 6996006760 is 676006996.

It can be written as a sum of positive squares in 4 ways, for example, as 6744022884 + 251983876 = 82122^2 + 15874^2 .

It is a super-2 number, since 2×6996006760² = 97888221171931395200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6996006767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108994 + ... + 160846.

Almost surely, 2^6996006760 is an apocalyptic number.

It is an amenable number.

6996006760 is an abundant number, since it is smaller than the sum of its proper divisors (8749978880).

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

6996006760 is a wasteful number, since it uses less digits than its factorization.

6996006760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55237 (or 55233 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 49.

The square root of 6996006760 is about 83642.1350755706. The cubic root of 6996006760 is about 1912.5673615188.

The spelling of 6996006760 in words is "six billion, nine hundred ninety-six million, six thousand, seven hundred sixty".