4735790064 has 120 divisors (see below), whose sum is σ = 13769504112. Its totient is φ = 1575728640.

The previous prime is 4735790047. The next prime is 4735790089. The reversal of 4735790064 is 4600975374.

4735790064 is a `hidden beast` number, since 4 + 73 + 579 + 0 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×4735790064² = 44855415060562248192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3969052 + ... + 3970244.

Almost surely, 2^4735790064 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 4735790064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6884752056).

4735790064 is an abundant number, since it is smaller than the sum of its proper divisors (9033714048).

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

4735790064 is a wasteful number, since it uses less digits than its factorization.

4735790064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 4735790064 is about 68817.0768341696. The cubic root of 4735790064 is about 1679.3097674754.

The spelling of 4735790064 in words is "four billion, seven hundred thirty-five million, seven hundred ninety thousand, sixty-four".