6797144640 has 448 divisors, whose sum is σ = 25767060480. Its totient is φ = 1496309760.

The previous prime is 6797144623. The next prime is 6797144677. The reversal of 6797144640 is 464417976.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6797144640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9197391 + ... + 9198129.

It is an arithmetic number, because the mean of its divisors is an integer number (57515760).

Almost surely, 2^6797144640 is an apocalyptic number.

6797144640 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 6797144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12883530240).

6797144640 is an abundant number, since it is smaller than the sum of its proper divisors (18969915840).

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

6797144640 is a wasteful number, since it uses less digits than its factorization.

6797144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 6797144640 is about 82444.7975314392. The cubic root of 6797144640 is about 1894.2712615769.

The spelling of 6797144640 in words is "six billion, seven hundred ninety-seven million, one hundred forty-four thousand, six hundred forty".