4606377984 has 360 divisors, whose sum is σ = 15028256880. Its totient is φ = 1401421824.

The previous prime is 4606377983. The next prime is 4606378013. The reversal of 4606377984 is 4897736064.

It is a happy number.

4606377984 is a `hidden beast` number, since 460 + 6 + 37 + 79 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4606377984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4606377983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51757012 + ... + 51757100.

It is an arithmetic number, because the mean of its divisors is an integer number (41745158).

Almost surely, 2^4606377984 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 4606377984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7514128440).

4606377984 is an abundant number, since it is smaller than the sum of its proper divisors (10421878896).

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

4606377984 is an frugal number, since it uses more digits than its factorization.

4606377984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 4606377984 is about 67870.3026661883. The cubic root of 4606377984 is about 1663.8717849928.

The spelling of 4606377984 in words is "four billion, six hundred six million, three hundred seventy-seven thousand, nine hundred eighty-four".