6840091440 has 1280 divisors, whose sum is σ = 32397926400. Its totient is φ = 1284636672.

The previous prime is 6840091429. The next prime is 6840091451. The reversal of 6840091440 is 441900486.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6840091429) and next prime (6840091451).

It is a super-2 number, since 2×6840091440² = 93573701815122547200, which contains 22 as substring.

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 = 6840091395 and 6840091404.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 76854916 + ... + 76855004.

It is an arithmetic number, because the mean of its divisors is an integer number (25310880).

Almost surely, 2^6840091440 is an apocalyptic number.

6840091440 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 6840091440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16198963200).

6840091440 is an abundant number, since it is smaller than the sum of its proper divisors (25557834960).

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

6840091440 is a wasteful number, since it uses less digits than its factorization.

6840091440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6840091440 is about 82704.8453235964. The cubic root of 6840091440 is about 1898.2524504098.

The spelling of 6840091440 in words is "six billion, eight hundred forty million, ninety-one thousand, four hundred forty".