4476026016 has 576 divisors, whose sum is σ = 17390370816. Its totient is φ = 1056153600.

The previous prime is 4476025997. The next prime is 4476026039. The reversal of 4476026016 is 6106206744.

4476026016 is a `hidden beast` number, since 4 + 47 + 6 + 0 + 2 + 601 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11686561 + ... + 11686943.

It is an arithmetic number, because the mean of its divisors is an integer number (30191616).

Almost surely, 2^4476026016 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 4476026016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8695185408).

4476026016 is an abundant number, since it is smaller than the sum of its proper divisors (12914344800).

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

4476026016 is a wasteful number, since it uses less digits than its factorization.

4476026016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4476026016 is about 66903.1091654192. The cubic root of 4476026016 is about 1648.0265375750.

The spelling of 4476026016 in words is "four billion, four hundred seventy-six million, twenty-six thousand, sixteen".