6117359040 has 336 divisors, whose sum is σ = 22882860000. Its totient is φ = 1491001344.

The previous prime is 6117359023. The next prime is 6117359063. The reversal of 6117359040 is 409537116.

6117359040 is a `hidden beast` number, since 61 + 1 + 7 + 3 + 590 + 4 + 0 = 666.

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 = 6117358986 and 6117359004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4080211 + ... + 4081709.

It is an arithmetic number, because the mean of its divisors is an integer number (68103750).

Almost surely, 2^6117359040 is an apocalyptic number.

6117359040 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 6117359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11441430000).

6117359040 is an abundant number, since it is smaller than the sum of its proper divisors (16765500960).

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

6117359040 is a wasteful number, since it uses less digits than its factorization.

6117359040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 6117359040 is about 78213.5476755786. The cubic root of 6117359040 is about 1828.8917055255.

The spelling of 6117359040 in words is "six billion, one hundred seventeen million, three hundred fifty-nine thousand, forty".