6502861800 has 144 divisors (see below), whose sum is σ = 21921007680. Its totient is φ = 1727568000.

The previous prime is 6502861793. The next prime is 6502861801. The reversal of 6502861800 is 81682056.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (6502861801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 481135 + ... + 494465.

It is an arithmetic number, because the mean of its divisors is an integer number (152229220).

Almost surely, 2^6502861800 is an apocalyptic number.

6502861800 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 6502861800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10960503840).

6502861800 is an abundant number, since it is smaller than the sum of its proper divisors (15418145880).

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

6502861800 is a wasteful number, since it uses less digits than its factorization.

6502861800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13624 (or 13612 counting only the distinct ones).

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

The square root of 6502861800 is about 80640.3236600648. The cubic root of 6502861800 is about 1866.5294279773.

The spelling of 6502861800 in words is "six billion, five hundred two million, eight hundred sixty-one thousand, eight hundred".