4607986320 has 800 divisors, whose sum is σ = 19704453120. Its totient is φ = 975421440.

The previous prime is 4607986309. The next prime is 4607986333. The reversal of 4607986320 is 236897064.

4607986320 is a `hidden beast` number, since 4 + 6 + 0 + 7 + 9 + 8 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 40778584 + ... + 40778696.

Almost surely, 2^4607986320 is an apocalyptic number.

4607986320 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 4607986320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9852226560).

4607986320 is an abundant number, since it is smaller than the sum of its proper divisors (15096466800).

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

4607986320 is a wasteful number, since it uses less digits than its factorization.

4607986320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4607986320 is about 67882.1502311175. The cubic root of 4607986320 is about 1664.0654117069.

The spelling of 4607986320 in words is "four billion, six hundred seven million, nine hundred eighty-six thousand, three hundred twenty".