4642089088 has 288 divisors, whose sum is σ = 12369343140. Its totient is φ = 1719631872.

The previous prime is 4642089043. The next prime is 4642089157. The reversal of 4642089088 is 8809802464.

It can be written as a sum of positive squares in 6 ways, for example, as 4054123584 + 587965504 = 63672^2 + 24248^2 .

It is a super-2 number, since 2×4642089088² = 43097982201857343488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23563806 + ... + 23564002.

Almost surely, 2^4642089088 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 4642089088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6184671570).

4642089088 is an abundant number, since it is smaller than the sum of its proper divisors (7727254052).

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

4642089088 is a wasteful number, since it uses less digits than its factorization.

4642089088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 49.

The square root of 4642089088 is about 68132.8781719956. The cubic root of 4642089088 is about 1668.1604624157.

The spelling of 4642089088 in words is "four billion, six hundred forty-two million, eighty-nine thousand, eighty-eight".