6743639040 has 176 divisors, whose sum is σ = 21745231872. Its totient is φ = 1783627776.

The previous prime is 6743638987. The next prime is 6743639093. The reversal of 6743639040 is 409363476.

It is an interprime number because it is at equal distance from previous prime (6743638987) and next prime (6743639093).

It is a junction number, because it is equal to n+sod(n) for n = 6743638983 and 6743639001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1948992 + ... + 1952448.

Almost surely, 2^6743639040 is an apocalyptic number.

6743639040 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 6743639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10872615936).

6743639040 is an abundant number, since it is smaller than the sum of its proper divisors (15001592832).

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

6743639040 is a wasteful number, since it uses less digits than its factorization.

6743639040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The square root of 6743639040 is about 82119.6629316024. The cubic root of 6743639040 is about 1889.2877358655.

The spelling of 6743639040 in words is "six billion, seven hundred forty-three million, six hundred thirty-nine thousand, forty".