6786958464 has 512 divisors, whose sum is σ = 24346828800. Its totient is φ = 1833062400.

The previous prime is 6786958463. The next prime is 6786958471. The reversal of 6786958464 is 4648596876.

6786958464 is a `hidden beast` number, since 6 + 7 + 86 + 95 + 8 + 464 = 666.

It is a super-2 number, since 2×6786958464² = 92125610384122478592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6786958463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15320227 + ... + 15320669.

It is an arithmetic number, because the mean of its divisors is an integer number (47552400).

Almost surely, 2^6786958464 is an apocalyptic number.

6786958464 is a gapful number since it is divisible by the number (64) 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 6786958464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12173414400).

6786958464 is an abundant number, since it is smaller than the sum of its proper divisors (17559870336).

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

6786958464 is a wasteful number, since it uses less digits than its factorization.

6786958464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 503 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The square root of 6786958464 is about 82382.9986344270. The cubic root of 6786958464 is about 1893.3245391820.

The spelling of 6786958464 in words is "six billion, seven hundred eighty-six million, nine hundred fifty-eight thousand, four hundred sixty-four".