6779140920 has 192 divisors, whose sum is σ = 23323528800. Its totient is φ = 1704729600.

The previous prime is 6779140913. The next prime is 6779140933. The reversal of 6779140920 is 290419776.

It is a super-2 number, since 2×6779140920² = 91913503226436892800, 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 47 ways as a sum of consecutive naturals, for example, 441370 + ... + 456470.

Almost surely, 2^6779140920 is an apocalyptic number.

6779140920 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 6779140920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11661764400).

6779140920 is an abundant number, since it is smaller than the sum of its proper divisors (16544387880).

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

6779140920 is a wasteful number, since it uses less digits than its factorization.

6779140920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15190 (or 15183 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 6779140920 is about 82335.5386209382. The cubic root of 6779140920 is about 1892.5973192498.

The spelling of 6779140920 in words is "six billion, seven hundred seventy-nine million, one hundred forty thousand, nine hundred twenty".