6779403840 has 224 divisors, whose sum is σ = 23926409856. Its totient is φ = 1612349440.

The previous prime is 6779403809. The next prime is 6779403877. The reversal of 6779403840 is 483049776.

It is a happy number.

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 6779403840.

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, 553624 + ... + 565736.

Almost surely, 2^6779403840 is an apocalyptic number.

6779403840 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 6779403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11963204928).

6779403840 is an abundant number, since it is smaller than the sum of its proper divisors (17147006016).

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

6779403840 is a wasteful number, since it uses less digits than its factorization.

6779403840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12197 (or 12187 counting only the distinct ones).

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

The square root of 6779403840 is about 82337.1352428538. The cubic root of 6779403840 is about 1892.6217862268.

The spelling of 6779403840 in words is "six billion, seven hundred seventy-nine million, four hundred three thousand, eight hundred forty".