4815728640 has 260 divisors, whose sum is σ = 17269118064. Its totient is φ = 1283751936.

The previous prime is 4815728611. The next prime is 4815728651. The reversal of 4815728640 is 468275184.

4815728640 is a `hidden beast` number, since 481 + 57 + 2 + 86 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1657429 + ... + 1660331.

Almost surely, 2^4815728640 is an apocalyptic number.

4815728640 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 4815728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8634559032).

4815728640 is an abundant number, since it is smaller than the sum of its proper divisors (12453389424).

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

4815728640 is an equidigital number, since it uses as much as digits as its factorization.

4815728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 4815728640 is about 69395.4511477518. The cubic root of 4815728640 is about 1688.7058285222.

The spelling of 4815728640 in words is "four billion, eight hundred fifteen million, seven hundred twenty-eight thousand, six hundred forty".