6378338736 has 160 divisors (see below), whose sum is σ = 22825920000. Its totient is φ = 1656702720.

The previous prime is 6378338723. The next prime is 6378338761.

6378338736 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62611 + ... + 129138.

It is an arithmetic number, because the mean of its divisors is an integer number (142662000).

Almost surely, 2^6378338736 is an apocalyptic number.

6378338736 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6378338736 is an abundant number, since it is smaller than the sum of its proper divisors (16447581264).

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

6378338736 is a wasteful number, since it uses less digits than its factorization.

6378338736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191784 (or 191772 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The square root of 6378338736 is about 79864.5023524219. The cubic root of 6378338736 is about 1854.5385266492.

The spelling of 6378338736 in words is "six billion, three hundred seventy-eight million, three hundred thirty-eight thousand, seven hundred thirty-six".