6996442560 has 224 divisors, whose sum is σ = 23473013760. Its totient is φ = 1762725888.

The previous prime is 6996442559. The next prime is 6996442571. The reversal of 6996442560 is 652446996.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1305807 + ... + 1311153.

It is an arithmetic number, because the mean of its divisors is an integer number (104790240).

Almost surely, 2^6996442560 is an apocalyptic number.

6996442560 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 6996442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11736506880).

6996442560 is an abundant number, since it is smaller than the sum of its proper divisors (16476571200).

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

6996442560 is a wasteful number, since it uses less digits than its factorization.

6996442560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5443 (or 5433 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The square root of 6996442560 is about 83644.7401813168. The cubic root of 6996442560 is about 1912.6070736754.

The spelling of 6996442560 in words is "six billion, nine hundred ninety-six million, four hundred forty-two thousand, five hundred sixty".