4002772816 has 80 divisors (see below), whose sum is σ = 8980568064. Its totient is φ = 1692899712.

The previous prime is 4002772811. The next prime is 4002772849. The reversal of 4002772816 is 6182772004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002772811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5386941 + ... + 5387683.

Almost surely, 2^4002772816 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 4002772816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4490284032).

4002772816 is an abundant number, since it is smaller than the sum of its proper divisors (4977795248).

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

4002772816 is a wasteful number, since it uses less digits than its factorization.

4002772816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 4002772816 is about 63267.4704409778. The cubic root of 4002772816 is about 1587.7677648319.

The spelling of 4002772816 in words is "four billion, two million, seven hundred seventy-two thousand, eight hundred sixteen".