4746107664 has 45 divisors (see below), whose sum is σ = 13284823669. Its totient is φ = 1581760320.

The previous prime is 4746107627. The next prime is 4746107693. The reversal of 4746107664 is 4667016474.

The square root of 4746107664 is 68892.

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

It can be written as a sum of positive squares in only one way, i.e., 2372469264 + 2373638400 = 48708^2 + 48720^2 .

It is a Duffinian number.

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, 823834 + ... + 829574.

Almost surely, 2^4746107664 is an apocalyptic number.

4746107664 is the 68892-nd square number.

It is an amenable number.

4746107664 is an abundant number, since it is smaller than the sum of its proper divisors (8538716005).

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

4746107664 is an frugal number, since it uses more digits than its factorization.

4746107664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11496 (or 5746 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The cubic root of 4746107664 is about 1680.5284222096.

The spelling of 4746107664 in words is "four billion, seven hundred forty-six million, one hundred seven thousand, six hundred sixty-four".