6996848800 has 216 divisors, whose sum is σ = 18617558400. Its totient is φ = 2560550400.

The previous prime is 6996848773. The next prime is 6996848801. The reversal of 6996848800 is 88486996.

It is a super-2 number, since 2×6996848800² = 97911786260122880000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (58) 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 (6996848801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14606961 + ... + 14607439.

It is an arithmetic number, because the mean of its divisors is an integer number (86192400).

Almost surely, 2^6996848800 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 6996848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9308779200).

6996848800 is an abundant number, since it is smaller than the sum of its proper divisors (11620709600).

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

6996848800 is a wasteful number, since it uses less digits than its factorization.

6996848800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 58.

The square root of 6996848800 is about 83647.1685115521. The cubic root of 6996848800 is about 1912.6440907001.

The spelling of 6996848800 in words is "six billion, nine hundred ninety-six million, eight hundred forty-eight thousand, eight hundred".