4490072064 has 117 divisors (see below), whose sum is σ = 13007004933. Its totient is φ = 1492402176.

The previous prime is 4490072033. The next prime is 4490072087. The reversal of 4490072064 is 4602700944.

The square root of 4490072064 is 67008.

It is a perfect power (a square), and thus also a powerful number.

4490072064 is a `hidden beast` number, since 449 + 0 + 0 + 7 + 206 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3295678464 + 1194393600 = 57408^2 + 34560^2 .

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 8 ways as a sum of consecutive naturals, for example, 12865362 + ... + 12865710.

Almost surely, 2^4490072064 is an apocalyptic number.

4490072064 is the 67008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4490072064

4490072064 is an abundant number, since it is smaller than the sum of its proper divisors (8516932869).

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

4490072064 is an frugal number, since it uses more digits than its factorization.

4490072064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The cubic root of 4490072064 is about 1649.7486074300.

Multiplying 4490072064 by its sum of digits (36), we get a square (161642594304 = 402048²).

4490072064 divided by its sum of digits (36) gives a square (124724224 = 11168²).

It can be divided in two parts, 44900 and 72064, that added together give a square (116964 = 342²).

The spelling of 4490072064 in words is "four billion, four hundred ninety million, seventy-two thousand, sixty-four".