6858311040 has 768 divisors, whose sum is σ = 29170368000. Its totient is φ = 1491333120.

The previous prime is 6858311027. The next prime is 6858311059. The reversal of 6858311040 is 401138586.

6858311040 is a `hidden beast` number, since 68 + 583 + 1 + 10 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6858310986 and 6858311004.

It is a congruent number.

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, 116242531 + ... + 116242589.

It is an arithmetic number, because the mean of its divisors is an integer number (37982250).

Almost surely, 2^6858311040 is an apocalyptic number.

6858311040 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 6858311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14585184000).

6858311040 is an abundant number, since it is smaller than the sum of its proper divisors (22312056960).

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

6858311040 is a wasteful number, since it uses less digits than its factorization.

6858311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 6858311040 is about 82814.9203948177. The cubic root of 6858311040 is about 1899.9363819881.

The spelling of 6858311040 in words is "six billion, eight hundred fifty-eight million, three hundred eleven thousand, forty".