4607416320 has 384 divisors, whose sum is σ = 16180819200. Its totient is φ = 1112408064.

The previous prime is 4607416301. The next prime is 4607416339. The reversal of 4607416320 is 236147064.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4607416301) and next prime (4607416339).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33146811 + ... + 33146949.

It is an arithmetic number, because the mean of its divisors is an integer number (42137550).

Almost surely, 2^4607416320 is an apocalyptic number.

4607416320 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 4607416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8090409600).

4607416320 is an abundant number, since it is smaller than the sum of its proper divisors (11573402880).

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

4607416320 is a wasteful number, since it uses less digits than its factorization.

4607416320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 4607416320 is about 67877.9516485287. The cubic root of 4607416320 is about 1663.9967948656.

It can be divided in two parts, 460741 and 6320, that added together give a triangular number (467061 = T₉₆₆).

The spelling of 4607416320 in words is "four billion, six hundred seven million, four hundred sixteen thousand, three hundred twenty".