6847978500 has 288 divisors, whose sum is σ = 24210426240. Its totient is φ = 1614816000.

The previous prime is 6847978469. The next prime is 6847978513. The reversal of 6847978500 is 58797486.

6847978500 is a `hidden beast` number, since 6 + 8 + 47 + 97 + 8 + 500 = 666.

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, 1829631 + ... + 1833369.

It is an arithmetic number, because the mean of its divisors is an integer number (84063980).

Almost surely, 2^6847978500 is an apocalyptic number.

6847978500 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 6847978500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12105213120).

6847978500 is an abundant number, since it is smaller than the sum of its proper divisors (17362447740).

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

6847978500 is a wasteful number, since it uses less digits than its factorization.

6847978500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3812 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 6847978500 is about 82752.5135569911. The cubic root of 6847978500 is about 1898.9817720557.

The spelling of 6847978500 in words is "six billion, eight hundred forty-seven million, nine hundred seventy-eight thousand, five hundred".