4626135360 has 672 divisors, whose sum is σ = 20723668992. Its totient is φ = 918466560.

The previous prime is 4626135359. The next prime is 4626135403. The reversal of 4626135360 is 635316264.

4626135360 is a `hidden beast` number, since 4 + 6 + 2 + 613 + 5 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×4626135360² = 42802256738084659200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5100027 + ... + 5100933.

Almost surely, 2^4626135360 is an apocalyptic number.

4626135360 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 4626135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10361834496).

4626135360 is an abundant number, since it is smaller than the sum of its proper divisors (16097533632).

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

4626135360 is a wasteful number, since it uses less digits than its factorization.

4626135360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 4626135360 is about 68015.6993641909. The cubic root of 4626135360 is about 1666.2472487731.

The spelling of 4626135360 in words is "four billion, six hundred twenty-six million, one hundred thirty-five thousand, three hundred sixty".