6857999460 has 576 divisors, whose sum is σ = 25427001600. Its totient is φ = 1536288768.

The previous prime is 6857999429. The next prime is 6857999483. The reversal of 6857999460 is 649997586.

It is a happy number.

6857999460 is a `hidden beast` number, since 6 + 85 + 7 + 9 + 99 + 460 = 666.

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 191 ways as a sum of consecutive naturals, for example, 34812082 + ... + 34812278.

It is an arithmetic number, because the mean of its divisors is an integer number (44144100).

Almost surely, 2^6857999460 is an apocalyptic number.

6857999460 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 6857999460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12713500800).

6857999460 is an abundant number, since it is smaller than the sum of its proper divisors (18569002140).

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

6857999460 is a wasteful number, since it uses less digits than its factorization.

6857999460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The square root of 6857999460 is about 82813.0391906975. The cubic root of 6857999460 is about 1899.9076095425.

The spelling of 6857999460 in words is "six billion, eight hundred fifty-seven million, nine hundred ninety-nine thousand, four hundred sixty".