6995600640 has 972 divisors, whose sum is σ = 30956991156. Its totient is φ = 1504935936.

The previous prime is 6995600593. The next prime is 6995600663. The reversal of 6995600640 is 460065996.

It can be written as a sum of positive squares in 2 ways, for example, as 4032758016 + 2962842624 = 63504^2 + 54432^2 .

It is a tau number, because it is divible by the number of its divisors (972).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 411505912 + ... + 411505928.

Almost surely, 2^6995600640 is an apocalyptic number.

6995600640 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 6995600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15478495578).

6995600640 is an abundant number, since it is smaller than the sum of its proper divisors (23961390516).

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

6995600640 is an frugal number, since it uses more digits than its factorization.

6995600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 6995600640 is about 83639.7073165611. The cubic root of 6995600640 is about 1912.5303524595.

The spelling of 6995600640 in words is "six billion, nine hundred ninety-five million, six hundred thousand, six hundred forty".