4618528740 has 384 divisors, whose sum is σ = 17476300800. Its totient is φ = 989107200.

The previous prime is 4618528723. The next prime is 4618528781. The reversal of 4618528740 is 478258164.

4618528740 is a `hidden beast` number, since 4 + 618 + 5 + 28 + 7 + 4 + 0 = 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 127 ways as a sum of consecutive naturals, for example, 7684440 + ... + 7685040.

It is an arithmetic number, because the mean of its divisors is an integer number (45511200).

Almost surely, 2^4618528740 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 4618528740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8738150400).

4618528740 is an abundant number, since it is smaller than the sum of its proper divisors (12857772060).

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

4618528740 is a wasteful number, since it uses less digits than its factorization.

4618528740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 744 counting only the distinct ones).

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

The square root of 4618528740 is about 67959.7582397112. The cubic root of 4618528740 is about 1665.3334937855. Note that the first 3 decimals are identical.

The spelling of 4618528740 in words is "four billion, six hundred eighteen million, five hundred twenty-eight thousand, seven hundred forty".