4378020264 has 192 divisors, whose sum is σ = 12817818000. Its totient is φ = 1347010560.

The previous prime is 4378020211. The next prime is 4378020277. The reversal of 4378020264 is 4620208734.

4378020264 is a `hidden beast` number, since 4 + 378 + 0 + 20 + 264 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 664092900 + 3713927364 = 25770^2 + 60942^2 .

It is a super-2 number, since 2×4378020264² = 38334122863989259392, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 4712152 + ... + 4713080.

Almost surely, 2^4378020264 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 4378020264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6408909000).

4378020264 is an abundant number, since it is smaller than the sum of its proper divisors (8439797736).

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

4378020264 is a wasteful number, since it uses less digits than its factorization.

4378020264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4378020264 is about 66166.6098874651. The cubic root of 4378020264 is about 1635.9094298093.

Adding to 4378020264 its reverse (4620208734), we get a palindrome (8998228998).

The spelling of 4378020264 in words is "four billion, three hundred seventy-eight million, twenty thousand, two hundred sixty-four".