4587516648 has 320 divisors, whose sum is σ = 15592389120. Its totient is φ = 1241049600.

The previous prime is 4587516629. The next prime is 4587516673. The reversal of 4587516648 is 8466157854.

4587516648 is a `hidden beast` number, since 4 + 5 + 87 + 516 + 6 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4587516594 and 4587516603.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2871786 + ... + 2873382.

It is an arithmetic number, because the mean of its divisors is an integer number (48726216).

Almost surely, 2^4587516648 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 4587516648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7796194560).

4587516648 is an abundant number, since it is smaller than the sum of its proper divisors (11004872472).

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

4587516648 is a wasteful number, since it uses less digits than its factorization.

4587516648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1657 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 4587516648 is about 67731.2088183874. The cubic root of 4587516648 is about 1661.5977078945.

It can be divided in two parts, 4587516 and 648, that added together give a square (4588164 = 2142²).

The spelling of 4587516648 in words is "four billion, five hundred eighty-seven million, five hundred sixteen thousand, six hundred forty-eight".