6837680448 has 70 divisors (see below), whose sum is σ = 20269042266. Its totient is φ = 2279225088.

The previous prime is 6837680429. The next prime is 6837680491. The reversal of 6837680448 is 8440867386.

It can be written as a sum of positive squares in only one way, i.e., 5510389824 + 1327290624 = 74232^2 + 36432^2 .

It is a super-2 number, since 2×6837680448² = 93507747817922961408, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6837680394 and 6837680403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 654315 + ... + 664682.

Almost surely, 2^6837680448 is an apocalyptic number.

It is an amenable number.

6837680448 is an abundant number, since it is smaller than the sum of its proper divisors (13431361818).

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

6837680448 is a wasteful number, since it uses less digits than its factorization.

6837680448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319021 (or 1319002 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The square root of 6837680448 is about 82690.2681577464. The cubic root of 6837680448 is about 1898.0293925094.

The spelling of 6837680448 in words is "six billion, eight hundred thirty-seven million, six hundred eighty thousand, four hundred forty-eight".