4626301680 has 960 divisors, whose sum is σ = 21448627200. Its totient is φ = 880588800.

The previous prime is 4626301663. The next prime is 4626301711. The reversal of 4626301680 is 861036264.

4626301680 is a `hidden beast` number, since 4 + 6 + 2 + 630 + 16 + 8 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 35315215 + ... + 35315345.

It is an arithmetic number, because the mean of its divisors is an integer number (22342320).

Almost surely, 2^4626301680 is an apocalyptic number.

4626301680 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 4626301680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10724313600).

4626301680 is an abundant number, since it is smaller than the sum of its proper divisors (16822325520).

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

4626301680 is a wasteful number, since it uses less digits than its factorization.

4626301680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4626301680 is about 68016.9220120993. The cubic root of 4626301680 is about 1666.2672169827.

The spelling of 4626301680 in words is "four billion, six hundred twenty-six million, three hundred one thousand, six hundred eighty".