6790258944 has 288 divisors, whose sum is σ = 23575005440. Its totient is φ = 1887141888.

The previous prime is 6790258921. The next prime is 6790258991. The reversal of 6790258944 is 4498520976.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6790258944² = 92215233053143990272, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1788312 + ... + 1792104.

Almost surely, 2^6790258944 is an apocalyptic number.

6790258944 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 6790258944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11787502720).

6790258944 is an abundant number, since it is smaller than the sum of its proper divisors (16784746496).

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

6790258944 is a wasteful number, since it uses less digits than its factorization.

6790258944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3862 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 6790258944 is about 82403.0275171974. The cubic root of 6790258944 is about 1893.6313956894.

The spelling of 6790258944 in words is "six billion, seven hundred ninety million, two hundred fifty-eight thousand, nine hundred forty-four".