4964585472 has 624 divisors, whose sum is σ = 18824883840. Its totient is φ = 1265172480.

The previous prime is 4964585471. The next prime is 4964585539. The reversal of 4964585472 is 2745854694.

4964585472 is a `hidden beast` number, since 4 + 96 + 4 + 5 + 8 + 547 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4964585471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93671398 + ... + 93671450.

Almost surely, 2^4964585472 is an apocalyptic number.

4964585472 is a gapful number since it is divisible by the number (42) 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 4964585472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9412441920).

4964585472 is an abundant number, since it is smaller than the sum of its proper divisors (13860298368).

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

4964585472 is a wasteful number, since it uses less digits than its factorization.

4964585472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 76 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 4964585472 is about 70459.8145895943. The cubic root of 4964585472 is about 1705.9291778883.

The spelling of 4964585472 in words is "four billion, nine hundred sixty-four million, five hundred eighty-five thousand, four hundred seventy-two".