6861335040 has 800 divisors, whose sum is σ = 29232593280. Its totient is φ = 1504935936.

The previous prime is 6861335023. The next prime is 6861335077. The reversal of 6861335040 is 405331686.

6861335040 is a `hidden beast` number, since 6 + 8 + 613 + 35 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×6861335040² = 94155837062263603200, which contains 22 as substring.

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 = 6861334986 and 6861335004.

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, 42093999 + ... + 42094161.

Almost surely, 2^6861335040 is an apocalyptic number.

6861335040 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 6861335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14616296640).

6861335040 is an abundant number, since it is smaller than the sum of its proper divisors (22371258240).

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

6861335040 is a wasteful number, since it uses less digits than its factorization.

6861335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 209 counting only the distinct ones).

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

The square root of 6861335040 is about 82833.1759622918. The cubic root of 6861335040 is about 1900.2155840327.

The spelling of 6861335040 in words is "six billion, eight hundred sixty-one million, three hundred thirty-five thousand, forty".