6840793440 has 480 divisors, whose sum is σ = 27380596320. Its totient is φ = 1594515456.

The previous prime is 6840793397. The next prime is 6840793451. The reversal of 6840793440 is 443970486.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3200052 + ... + 3202188.

It is an arithmetic number, because the mean of its divisors is an integer number (57042909).

Almost surely, 2^6840793440 is an apocalyptic number.

6840793440 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 6840793440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13690298160).

6840793440 is an abundant number, since it is smaller than the sum of its proper divisors (20539802880).

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

6840793440 is a wasteful number, since it uses less digits than its factorization.

6840793440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6840793440 is about 82709.0892224065. The cubic root of 6840793440 is about 1898.3173875356.

The spelling of 6840793440 in words is "six billion, eight hundred forty million, seven hundred ninety-three thousand, four hundred forty".