4607478720 has 896 divisors, whose sum is σ = 19663257600. Its totient is φ = 1003290624.

The previous prime is 4607478691. The next prime is 4607478721. The reversal of 4607478720 is 278747064.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4607478721) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 36279297 + ... + 36279423.

It is an arithmetic number, because the mean of its divisors is an integer number (21945600).

Almost surely, 2^4607478720 is an apocalyptic number.

4607478720 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 4607478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9831628800).

4607478720 is an abundant number, since it is smaller than the sum of its proper divisors (15055778880).

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

4607478720 is a wasteful number, since it uses less digits than its factorization.

4607478720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 4607478720 is about 67878.4112954922. The cubic root of 4607478720 is about 1664.0043068799.

The spelling of 4607478720 in words is "four billion, six hundred seven million, four hundred seventy-eight thousand, seven hundred twenty".