4476536064 has 576 divisors, whose sum is σ = 17801441280. Its totient is φ = 1071636480.

The previous prime is 4476536011. The next prime is 4476536093. The reversal of 4476536064 is 4606356744.

It is a happy number.

4476536064 is a `hidden beast` number, since 44 + 76 + 536 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4476536064² = 40078750264585224192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6918589 + ... + 6919235.

It is an arithmetic number, because the mean of its divisors is an integer number (30905280).

Almost surely, 2^4476536064 is an apocalyptic number.

4476536064 is a gapful number since it is divisible by the number (44) 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 4476536064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8900720640).

4476536064 is an abundant number, since it is smaller than the sum of its proper divisors (13324905216).

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

4476536064 is a wasteful number, since it uses less digits than its factorization.

4476536064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The square root of 4476536064 is about 66906.9208976172. The cubic root of 4476536064 is about 1648.0891333322.

The spelling of 4476536064 in words is "four billion, four hundred seventy-six million, five hundred thirty-six thousand, sixty-four".