4640770464 has 96 divisors (see below), whose sum is σ = 13303362240. Its totient is φ = 1404825600.

The previous prime is 4640770447. The next prime is 4640770481.

4640770464 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4640770447) and next prime (4640770481).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1435602 + ... + 1438830.

It is an arithmetic number, because the mean of its divisors is an integer number (138576690).

Almost surely, 2^4640770464 is an apocalyptic number.

4640770464 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 4640770464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6651681120).

4640770464 is an abundant number, since it is smaller than the sum of its proper divisors (8662591776).

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

4640770464 is a wasteful number, since it uses less digits than its factorization.

4640770464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4614 (or 4606 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The square root of 4640770464 is about 68123.2006294478. The cubic root of 4640770464 is about 1668.0024958413.

The spelling of 4640770464 in words is "four billion, six hundred forty million, seven hundred seventy thousand, four hundred sixty-four".