6361066800 has 540 divisors, whose sum is σ = 25721088120. Its totient is φ = 1449676800.

The previous prime is 6361066771. The next prime is 6361066823. The reversal of 6361066800 is 86601636.

6361066800 is a `hidden beast` number, since 636 + 10 + 6 + 6 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7404771 + ... + 7405629.

Almost surely, 2^6361066800 is an apocalyptic number.

6361066800 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 6361066800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12860544060).

6361066800 is an abundant number, since it is smaller than the sum of its proper divisors (19360021320).

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

6361066800 is a wasteful number, since it uses less digits than its factorization.

6361066800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6361066800 is about 79756.2963031760. The cubic root of 6361066800 is about 1852.8630419412.

The spelling of 6361066800 in words is "six billion, three hundred sixty-one million, sixty-six thousand, eight hundred".