6261221800 has 72 divisors (see below), whose sum is σ = 15073825950. Its totient is φ = 2415799680.

The previous prime is 6261221797. The next prime is 6261221803. The reversal of 6261221800 is 81221626.

It is an interprime number because it is at equal distance from previous prime (6261221797) and next prime (6261221803).

It can be written as a sum of positive squares in 3 ways, for example, as 4702393476 + 1558828324 = 68574^2 + 39482^2 .

It is not an unprimeable number, because it can be changed into a prime (6261221803) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6025681 + ... + 6026719.

Almost surely, 2^6261221800 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 6261221800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7536912975).

6261221800 is an abundant number, since it is smaller than the sum of its proper divisors (8812604150).

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

6261221800 is a wasteful number, since it uses less digits than its factorization.

6261221800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 6261221800 is about 79127.8825699260. The cubic root of 6261221800 is about 1843.1175292301.

The spelling of 6261221800 in words is "six billion, two hundred sixty-one million, two hundred twenty-one thousand, eight hundred".