4764510720 has 640 divisors, whose sum is σ = 18360967680. Its totient is φ = 1182449664.

The previous prime is 4764510691. The next prime is 4764510731. The reversal of 4764510720 is 270154674.

4764510720 is a `hidden beast` number, since 4 + 7 + 645 + 1 + 0 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128770542 + ... + 128770578.

It is an arithmetic number, because the mean of its divisors is an integer number (28689012).

Almost surely, 2^4764510720 is an apocalyptic number.

4764510720 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 4764510720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9180483840).

4764510720 is an abundant number, since it is smaller than the sum of its proper divisors (13596456960).

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

4764510720 is an frugal number, since it uses more digits than its factorization.

4764510720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 4764510720 is about 69025.4353119196. The cubic root of 4764510720 is about 1682.6977065805.

The spelling of 4764510720 in words is "four billion, seven hundred sixty-four million, five hundred ten thousand, seven hundred twenty".