4802264064 has 352 divisors, whose sum is σ = 15846727680. Its totient is φ = 1426636800.

The previous prime is 4802264059. The next prime is 4802264099. The reversal of 4802264064 is 4604622084.

It is a happy number.

4802264064 is a `hidden beast` number, since 4 + 8 + 0 + 2 + 2 + 640 + 6 + 4 = 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 31 ways as a sum of consecutive naturals, for example, 11141929 + ... + 11142359.

Almost surely, 2^4802264064 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 4802264064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7923363840).

4802264064 is an abundant number, since it is smaller than the sum of its proper divisors (11044463616).

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

4802264064 is a wasteful number, since it uses less digits than its factorization.

4802264064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4802264064 is about 69298.3698509568. The cubic root of 4802264064 is about 1687.1305091278.

The spelling of 4802264064 in words is "four billion, eight hundred two million, two hundred sixty-four thousand, sixty-four".