6857154864 has 720 divisors, whose sum is σ = 25404088320. Its totient is φ = 1713761280.

The previous prime is 6857154851. The next prime is 6857154869. The reversal of 6857154864 is 4684517586.

6857154864 is a `hidden beast` number, since 6 + 8 + 571 + 5 + 4 + 8 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6857154864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6857154869) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 145896889 + ... + 145896935.

It is an arithmetic number, because the mean of its divisors is an integer number (35283456).

Almost surely, 2^6857154864 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 6857154864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12702044160).

6857154864 is an abundant number, since it is smaller than the sum of its proper divisors (18546933456).

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

6857154864 is a wasteful number, since it uses less digits than its factorization.

6857154864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 6857154864 is about 82807.9396193384. The cubic root of 6857154864 is about 1899.8296120519.

The spelling of 6857154864 in words is "six billion, eight hundred fifty-seven million, one hundred fifty-four thousand, eight hundred sixty-four".