6995079072 has 144 divisors (see below), whose sum is σ = 20922789888. Its totient is φ = 2213752320.

The previous prime is 6995079071. The next prime is 6995079151. The reversal of 6995079072 is 2709705996.

6995079072 is a `hidden beast` number, since 69 + 9 + 507 + 9 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6995079072² = 97862262447064762368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6995079071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465793 + ... + 480575.

It is an arithmetic number, because the mean of its divisors is an integer number (145297152).

Almost surely, 2^6995079072 is an apocalyptic number.

6995079072 is a gapful number since it is divisible by the number (62) 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 6995079072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10461394944).

6995079072 is an abundant number, since it is smaller than the sum of its proper divisors (13927710816).

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

6995079072 is a wasteful number, since it uses less digits than its factorization.

6995079072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14883 (or 14872 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The square root of 6995079072 is about 83636.5893135295. The cubic root of 6995079072 is about 1912.4828207095.

The spelling of 6995079072 in words is "six billion, nine hundred ninety-five million, seventy-nine thousand, seventy-two".