6578778756 has 48 divisors (see below), whose sum is σ = 16758181440. Its totient is φ = 1992117120.

The previous prime is 6578778737. The next prime is 6578778763.

It is a happy number.

6578778756 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171190 + ... + 206066.

It is an arithmetic number, because the mean of its divisors is an integer number (349128780).

Almost surely, 2^6578778756 is an apocalyptic number.

6578778756 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6578778756 is an abundant number, since it is smaller than the sum of its proper divisors (10179402684).

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

6578778756 is a wasteful number, since it uses less digits than its factorization.

6578778756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36324 (or 36322 counting only the distinct ones).

The product of its digits is 138297600, while the sum is 66.

The square root of 6578778756 is about 81109.6711619521. The cubic root of 6578778756 is about 1873.7648760198.

The spelling of 6578778756 in words is "six billion, five hundred seventy-eight million, seven hundred seventy-eight thousand, seven hundred fifty-six".