6366964500 has 576 divisors, whose sum is σ = 23372294400. Its totient is φ = 1502323200.

The previous prime is 6366964469. The next prime is 6366964501. The reversal of 6366964500 is 54696636.

6366964500 is a `hidden beast` number, since 636 + 6 + 9 + 6 + 4 + 5 + 0 + 0 = 666.

It is a super-3 number, since 3×6366964500³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6366964501) 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, 45805431 + ... + 45805569.

It is an arithmetic number, because the mean of its divisors is an integer number (40576900).

Almost surely, 2^6366964500 is an apocalyptic number.

6366964500 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 6366964500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11686147200).

6366964500 is an abundant number, since it is smaller than the sum of its proper divisors (17005329900).

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

6366964500 is a wasteful number, since it uses less digits than its factorization.

6366964500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 6366964500 is about 79793.2609936453. The cubic root of 6366964500 is about 1853.4354959670.

The spelling of 6366964500 in words is "six billion, three hundred sixty-six million, nine hundred sixty-four thousand, five hundred".