6793359840 has 480 divisors, whose sum is σ = 25472772864. Its totient is φ = 1702010880.

The previous prime is 6793359829. The next prime is 6793359857. The reversal of 6793359840 is 489533976.

6793359840 is a `hidden beast` number, since 6 + 7 + 9 + 3 + 3 + 598 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×6793359840² = 92299475831449651200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14864892 + ... + 14865348.

Almost surely, 2^6793359840 is an apocalyptic number.

6793359840 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 6793359840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12736386432).

6793359840 is an abundant number, since it is smaller than the sum of its proper divisors (18679413024).

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

6793359840 is a wasteful number, since it uses less digits than its factorization.

6793359840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 6793359840 is about 82421.8407947796. The cubic root of 6793359840 is about 1893.9196056310.

The spelling of 6793359840 in words is "six billion, seven hundred ninety-three million, three hundred fifty-nine thousand, eight hundred forty".