6793084440 has 512 divisors, whose sum is σ = 24891264000. Its totient is φ = 1662819840.

The previous prime is 6793084411. The next prime is 6793084471. The reversal of 6793084440 is 444803976.

It is a super-2 number, since 2×6793084440² = 92291992417940227200, 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101389287 + ... + 101389353.

It is an arithmetic number, because the mean of its divisors is an integer number (48615750).

Almost surely, 2^6793084440 is an apocalyptic number.

6793084440 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 6793084440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12445632000).

6793084440 is an abundant number, since it is smaller than the sum of its proper divisors (18098179560).

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

6793084440 is a wasteful number, since it uses less digits than its factorization.

6793084440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6793084440 is about 82420.1701041681. The cubic root of 6793084440 is about 1893.8940123792.

The spelling of 6793084440 in words is "six billion, seven hundred ninety-three million, eighty-four thousand, four hundred forty".