6790681440 has 192 divisors, whose sum is σ = 24534558720. Its totient is φ = 1752399360.

The previous prime is 6790681393. The next prime is 6790681459. The reversal of 6790681440 is 441860976.

6790681440 is a `hidden beast` number, since 67 + 90 + 68 + 1 + 440 = 666.

It is a super-2 number, since 2×6790681440² = 92226708839120947200, which contains 22 as substring.

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 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, 108567 + ... + 159273.

It is an arithmetic number, because the mean of its divisors is an integer number (127784160).

Almost surely, 2^6790681440 is an apocalyptic number.

6790681440 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 6790681440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12267279360).

6790681440 is an abundant number, since it is smaller than the sum of its proper divisors (17743877280).

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

6790681440 is a wasteful number, since it uses less digits than its factorization.

6790681440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50762 (or 50748 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6790681440 is about 82405.5910724509. The cubic root of 6790681440 is about 1893.6706693560.

The spelling of 6790681440 in words is "six billion, seven hundred ninety million, six hundred eighty-one thousand, four hundred forty".