6860313600 has 396 divisors, whose sum is σ = 26389989504. Its totient is φ = 1567211520.

The previous prime is 6860313583. The next prime is 6860313601. The reversal of 6860313600 is 63130686.

It is a super-3 number, since 3×6860313600³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6860313601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3762289 + ... + 3764111.

Almost surely, 2^6860313600 is an apocalyptic number.

6860313600 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 6860313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13194994752).

6860313600 is an abundant number, since it is smaller than the sum of its proper divisors (19529675904).

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

6860313600 is a wasteful number, since it uses less digits than its factorization.

6860313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 6860313600 is about 82827.0100872898. The cubic root of 6860313600 is about 1900.1212849632.

The spelling of 6860313600 in words is "six billion, eight hundred sixty million, three hundred thirteen thousand, six hundred".