6995830464 has 224 divisors, whose sum is σ = 23805286400. Its totient is φ = 1973237760.

The previous prime is 6995830447. The next prime is 6995830469. The reversal of 6995830464 is 4640385996.

6995830464 is a `hidden beast` number, since 69 + 95 + 8 + 30 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6995830464.

It is not an unprimeable number, because it can be changed into a prime (6995830469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 951924 + ... + 959244.

It is an arithmetic number, because the mean of its divisors is an integer number (106273600).

Almost surely, 2^6995830464 is an apocalyptic number.

6995830464 is a gapful number since it is divisible by the number (64) 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 6995830464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11902643200).

6995830464 is an abundant number, since it is smaller than the sum of its proper divisors (16809455936).

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

6995830464 is a wasteful number, since it uses less digits than its factorization.

6995830464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7428 (or 7412 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 6995830464 is about 83641.0811981768. The cubic root of 6995830464 is about 1912.5512961251.

The spelling of 6995830464 in words is "six billion, nine hundred ninety-five million, eight hundred thirty thousand, four hundred sixty-four".