6876496872 has 384 divisors, whose sum is σ = 24200467200. Its totient is φ = 1716609024.

The previous prime is 6876496867. The next prime is 6876496883. The reversal of 6876496872 is 2786946786.

6876496872 is a `hidden beast` number, since 6 + 8 + 76 + 496 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8627578 + ... + 8628374.

It is an arithmetic number, because the mean of its divisors is an integer number (63022050).

Almost surely, 2^6876496872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6876496872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12100233600).

6876496872 is an abundant number, since it is smaller than the sum of its proper divisors (17323970328).

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

6876496872 is a wasteful number, since it uses less digits than its factorization.

6876496872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 898 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The square root of 6876496872 is about 82924.6457453995. The cubic root of 6876496872 is about 1901.6142211678.

The spelling of 6876496872 in words is "six billion, eight hundred seventy-six million, four hundred ninety-six thousand, eight hundred seventy-two".