4160528064 has 420 divisors, whose sum is σ = 15661431720. Its totient is φ = 1079930880.

The previous prime is 4160528063. The next prime is 4160528087. The reversal of 4160528064 is 4608250614.

4160528064 is a `hidden beast` number, since 41 + 605 + 2 + 8 + 0 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (4160528063) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2793432 + ... + 2794920.

Almost surely, 2^4160528064 is an apocalyptic number.

4160528064 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 4160528064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7830715860).

4160528064 is an abundant number, since it is smaller than the sum of its proper divisors (11500903656).

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

4160528064 is a wasteful number, since it uses less digits than its factorization.

4160528064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4160528064 is about 64502.1554988669. The cubic root of 4160528064 is about 1608.3583518553.

Adding to 4160528064 its reverse (4608250614), we get a palindrome (8768778678).

The spelling of 4160528064 in words is "four billion, one hundred sixty million, five hundred twenty-eight thousand, sixty-four".