6852695040 has 352 divisors, whose sum is σ = 25644816000. Its totient is φ = 1730543616.

The previous prime is 6852695029. The next prime is 6852695063. The reversal of 6852695040 is 405962586.

6852695040 is a `hidden beast` number, since 6 + 85 + 2 + 69 + 504 + 0 = 666.

It is a super-2 number, since 2×6852695040² = 93918858622481203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2625256 + ... + 2627864.

Almost surely, 2^6852695040 is an apocalyptic number.

6852695040 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 6852695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12822408000).

6852695040 is an abundant number, since it is smaller than the sum of its proper divisors (18792120960).

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

6852695040 is a wasteful number, since it uses less digits than its factorization.

6852695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 6852695040 is about 82781.0065171957. The cubic root of 6852695040 is about 1899.4176460870.

The spelling of 6852695040 in words is "six billion, eight hundred fifty-two million, six hundred ninety-five thousand, forty".