6996264660 has 576 divisors, whose sum is σ = 29255675904. Its totient is φ = 1307750400.

The previous prime is 6996264631. The next prime is 6996264661. The reversal of 6996264660 is 664626996.

It is a happy number.

6996264660 is a `hidden beast` number, since 6 + 9 + 9 + 626 + 4 + 6 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6996264597 and 6996264606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6996264661) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5418615 + ... + 5419905.

It is an arithmetic number, because the mean of its divisors is an integer number (50791104).

Almost surely, 2^6996264660 is an apocalyptic number.

6996264660 is a gapful number since it is divisible by the number (60) 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 6996264660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14627837952).

6996264660 is an abundant number, since it is smaller than the sum of its proper divisors (22259411244).

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

6996264660 is a wasteful number, since it uses less digits than its factorization.

6996264660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The square root of 6996264660 is about 83643.6767484548. The cubic root of 6996264660 is about 1912.5908627854.

The spelling of 6996264660 in words is "six billion, nine hundred ninety-six million, two hundred sixty-four thousand, six hundred sixty".