4613627088 has 240 divisors, whose sum is σ = 15314980096. Its totient is φ = 1269043200.

The previous prime is 4613627069. The next prime is 4613627089. The reversal of 4613627088 is 8807263164.

4613627088 is a `hidden beast` number, since 4 + 6 + 13 + 627 + 0 + 8 + 8 = 666.

It is a super-3 number, since 3×4613627088³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4613627089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3840888 + ... + 3842088.

Almost surely, 2^4613627088 is an apocalyptic number.

4613627088 is a gapful number since it is divisible by the number (48) 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 4613627088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7657490048).

4613627088 is an abundant number, since it is smaller than the sum of its proper divisors (10701353008).

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

4613627088 is a wasteful number, since it uses less digits than its factorization.

4613627088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4613627088 is about 67923.6857657180. The cubic root of 4613627088 is about 1664.7441448698.

The spelling of 4613627088 in words is "four billion, six hundred thirteen million, six hundred twenty-seven thousand, eighty-eight".