6836135040 has 576 divisors, whose sum is σ = 28039410360. Its totient is φ = 1529708544.

The previous prime is 6836135023. The next prime is 6836135051. The reversal of 6836135040 is 405316386.

It can be written as a sum of positive squares in 4 ways, for example, as 6693857856 + 142277184 = 81816^2 + 11928^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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 = 6836134986 and 6836135004.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14958492 + ... + 14958948.

Almost surely, 2^6836135040 is an apocalyptic number.

6836135040 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 6836135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14019705180).

6836135040 is an abundant number, since it is smaller than the sum of its proper divisors (21203275320).

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

6836135040 is a wasteful number, since it uses less digits than its factorization.

6836135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6836135040 is about 82680.9230717703. The cubic root of 6836135040 is about 1897.8863883216.

The spelling of 6836135040 in words is "six billion, eight hundred thirty-six million, one hundred thirty-five thousand, forty".