4764766464 has 288 divisors, whose sum is σ = 14962734080. Its totient is φ = 1492992000.

The previous prime is 4764766417. The next prime is 4764766481. The reversal of 4764766464 is 4646674674.

It is a tau number, because it is divible by the number of its divisors (288).

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 4764766464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7927764 + ... + 7928364.

Almost surely, 2^4764766464 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 4764766464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7481367040).

4764766464 is an abundant number, since it is smaller than the sum of its proper divisors (10197967616).

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

4764766464 is a wasteful number, since it uses less digits than its factorization.

4764766464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 674 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The square root of 4764766464 is about 69027.2878215565. The cubic root of 4764766464 is about 1682.7278133545.

The spelling of 4764766464 in words is "four billion, seven hundred sixty-four million, seven hundred sixty-six thousand, four hundred sixty-four".