6859451016 has 192 divisors, whose sum is σ = 20967336000. Its totient is φ = 2007590400.

The previous prime is 6859451009. The next prime is 6859451029. The reversal of 6859451016 is 6101549586.

6859451016 is a `hidden beast` number, since 6 + 8 + 594 + 51 + 0 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4365511 + ... + 4367081.

It is an arithmetic number, because the mean of its divisors is an integer number (109204875).

Almost surely, 2^6859451016 is an apocalyptic number.

6859451016 is a gapful number since it is divisible by the number (66) 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 6859451016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10483668000).

6859451016 is an abundant number, since it is smaller than the sum of its proper divisors (14107884984).

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

6859451016 is a wasteful number, since it uses less digits than its factorization.

6859451016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 6859451016 is about 82821.8027816347. The cubic root of 6859451016 is about 1900.0416441473.

The spelling of 6859451016 in words is "six billion, eight hundred fifty-nine million, four hundred fifty-one thousand, sixteen".