6736343040 has 624 divisors, whose sum is σ = 27968398848. Its totient is φ = 1466302464.

The previous prime is 6736343023. The next prime is 6736343057. The reversal of 6736343040 is 403436376.

It is an interprime number because it is at equal distance from previous prime (6736343023) and next prime (6736343057).

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 = 6736342986 and 6736343004.

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, 29675407 + ... + 29675633.

It is an arithmetic number, because the mean of its divisors is an integer number (44821152).

Almost surely, 2^6736343040 is an apocalyptic number.

6736343040 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 6736343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13984199424).

6736343040 is an abundant number, since it is smaller than the sum of its proper divisors (21232055808).

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

6736343040 is a wasteful number, since it uses less digits than its factorization.

6736343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The square root of 6736343040 is about 82075.2279314532. The cubic root of 6736343040 is about 1888.6061445503.

The spelling of 6736343040 in words is "six billion, seven hundred thirty-six million, three hundred forty-three thousand, forty".