4640820480 has 360 divisors, whose sum is σ = 17589188232. Its totient is φ = 1164312576.

The previous prime is 4640820479. The next prime is 4640820487. The reversal of 4640820480 is 840280464.

4640820480 is a `hidden beast` number, since 4 + 640 + 8 + 2 + 0 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 366799104 + 4274021376 = 19152^2 + 65376^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4640820487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1761244 + ... + 1763876.

Almost surely, 2^4640820480 is an apocalyptic number.

4640820480 is a gapful number since it is divisible by the number (40) 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 4640820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8794594116).

4640820480 is an abundant number, since it is smaller than the sum of its proper divisors (12948367752).

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

4640820480 is a wasteful number, since it uses less digits than its factorization.

4640820480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4640820480 is about 68123.5677280631. The cubic root of 4640820480 is about 1668.0084881303.

The spelling of 4640820480 in words is "four billion, six hundred forty million, eight hundred twenty thousand, four hundred eighty".