6856492500 has 360 divisors, whose sum is σ = 25455926496. Its totient is φ = 1533600000.

The previous prime is 6856492481. The next prime is 6856492519. The reversal of 6856492500 is 52946586.

6856492500 is a `hidden beast` number, since 6 + 8 + 56 + 4 + 92 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (6856492481) and next prime (6856492519).

It is a super-2 number, since 2×6856492500² = 94022978805112500000, 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 (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3216435 + ... + 3218565.

Almost surely, 2^6856492500 is an apocalyptic number.

6856492500 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 6856492500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12727963248).

6856492500 is an abundant number, since it is smaller than the sum of its proper divisors (18599433996).

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

6856492500 is a wasteful number, since it uses less digits than its factorization.

6856492500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185 (or 2165 counting only the distinct ones).

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

The square root of 6856492500 is about 82803.9401236439. The cubic root of 6856492500 is about 1899.7684390005.

The spelling of 6856492500 in words is "six billion, eight hundred fifty-six million, four hundred ninety-two thousand, five hundred".