6838007040 has 360 divisors, whose sum is σ = 24747734088. Its totient is φ = 1802649600.

The previous prime is 6838006999. The next prime is 6838007083. The reversal of 6838007040 is 407008386.

It can be written as a sum of positive squares in 4 ways, for example, as 1423401984 + 5414605056 = 37728^2 + 73584^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6838006986 and 6838007004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10471354 + ... + 10472006.

Almost surely, 2^6838007040 is an apocalyptic number.

6838007040 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 6838007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12373867044).

6838007040 is an abundant number, since it is smaller than the sum of its proper divisors (17909727048).

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

6838007040 is a wasteful number, since it uses less digits than its factorization.

6838007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6838007040 is about 82692.2429251982. The cubic root of 6838007040 is about 1898.0596109123.

The spelling of 6838007040 in words is "six billion, eight hundred thirty-eight million, seven thousand, forty".