6858870480 has 960 divisors, whose sum is σ = 31158005760. Its totient is φ = 1354890240.

The previous prime is 6858870463. The next prime is 6858870481. The reversal of 6858870480 is 840788586.

6858870480 is a `hidden beast` number, since 6 + 85 + 8 + 87 + 0 + 480 = 666.

It is a super-2 number, since 2×6858870480² = 94088208522830860800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6858870481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42078879 + ... + 42079041.

It is an arithmetic number, because the mean of its divisors is an integer number (32456256).

Almost surely, 2^6858870480 is an apocalyptic number.

6858870480 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 6858870480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15579002880).

6858870480 is an abundant number, since it is smaller than the sum of its proper divisors (24299135280).

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

6858870480 is a wasteful number, since it uses less digits than its factorization.

6858870480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The square root of 6858870480 is about 82818.2979781642. The cubic root of 6858870480 is about 1899.9880405526.

The spelling of 6858870480 in words is "six billion, eight hundred fifty-eight million, eight hundred seventy thousand, four hundred eighty".