6926776320 has 192 divisors, whose sum is σ = 22253736960. Its totient is φ = 1839366144.

The previous prime is 6926776313. The next prime is 6926776321. The reversal of 6926776320 is 236776296.

It is a tau number, because it is divible by the number of its divisors (192).

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 6926776320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6926776321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14223117 + ... + 14223603.

It is an arithmetic number, because the mean of its divisors is an integer number (115904880).

Almost surely, 2^6926776320 is an apocalyptic number.

6926776320 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 6926776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11126868480).

6926776320 is an abundant number, since it is smaller than the sum of its proper divisors (15326960640).

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

6926776320 is a wasteful number, since it uses less digits than its factorization.

6926776320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 48.

The square root of 6926776320 is about 83227.2570736294. The cubic root of 6926776320 is about 1906.2377005101.

The spelling of 6926776320 in words is "six billion, nine hundred twenty-six million, seven hundred seventy-six thousand, three hundred twenty".