2763832064 has 108 divisors (see below), whose sum is σ = 6501146400. Its totient is φ = 1169086464.

The previous prime is 2763832061. The next prime is 2763832079. The reversal of 2763832064 is 4602383672.

It is a super-3 number, since 3×2763832064³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2763832061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 989582 + ... + 992370.

It is an arithmetic number, because the mean of its divisors is an integer number (60195800).

Almost surely, 2^2763832064 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 2763832064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3250573200).

2763832064 is an abundant number, since it is smaller than the sum of its proper divisors (3737314336).

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

2763832064 is an equidigital number, since it uses as much as digits as its factorization.

2763832064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 41.

The square root of 2763832064 is about 52572.1605414881. The cubic root of 2763832064 is about 1403.3647069126.

The spelling of 2763832064 in words is "two billion, seven hundred sixty-three million, eight hundred thirty-two thousand, sixty-four".