6838467840 has 432 divisors, whose sum is σ = 25190256000. Its totient is φ = 1707982848.

The previous prime is 6838467829. The next prime is 6838467851. The reversal of 6838467840 is 487648386.

It is an interprime number because it is at equal distance from previous prime (6838467829) and next prime (6838467851).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34364061 + ... + 34364259.

Almost surely, 2^6838467840 is an apocalyptic number.

6838467840 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 6838467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12595128000).

6838467840 is an abundant number, since it is smaller than the sum of its proper divisors (18351788160).

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

6838467840 is a wasteful number, since it uses less digits than its factorization.

6838467840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 385 counting only the distinct ones).

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

The square root of 6838467840 is about 82695.0291130005. The cubic root of 6838467840 is about 1898.1022454703.

The spelling of 6838467840 in words is "six billion, eight hundred thirty-eight million, four hundred sixty-seven thousand, eight hundred forty".