6940590408 has 256 divisors, whose sum is σ = 21904992000. Its totient is φ = 2022838272.

The previous prime is 6940590407. The next prime is 6940590409. The reversal of 6940590408 is 8040950496.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6940590407) and next prime (6940590409).

It is not an unprimeable number, because it can be changed into a prime (6940590401) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3696766 + ... + 3698642.

It is an arithmetic number, because the mean of its divisors is an integer number (85566375).

Almost surely, 2^6940590408 is an apocalyptic number.

6940590408 is a gapful number since it is divisible by the number (68) 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 6940590408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10952496000).

6940590408 is an abundant number, since it is smaller than the sum of its proper divisors (14964401592).

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

6940590408 is a wasteful number, since it uses less digits than its factorization.

6940590408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 6940590408 is about 83310.2059053991. The cubic root of 6940590408 is about 1907.5040639773.

The spelling of 6940590408 in words is "six billion, nine hundred forty million, five hundred ninety thousand, four hundred eight".