6779315520 has 448 divisors, whose sum is σ = 25625145600. Its totient is φ = 1682104320.

The previous prime is 6779315513. The next prime is 6779315533. The reversal of 6779315520 is 255139776.

6779315520 is a `hidden beast` number, since 6 + 7 + 7 + 93 + 1 + 552 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 10013422 + ... + 10014098.

Almost surely, 2^6779315520 is an apocalyptic number.

6779315520 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 6779315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12812572800).

6779315520 is an abundant number, since it is smaller than the sum of its proper divisors (18845830080).

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

6779315520 is a wasteful number, since it uses less digits than its factorization.

6779315520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 6779315520 is about 82336.5989095979. The cubic root of 6779315520 is about 1892.6135673585.

The spelling of 6779315520 in words is "six billion, seven hundred seventy-nine million, three hundred fifteen thousand, five hundred twenty".