4764608640 has 384 divisors, whose sum is σ = 18111038400. Its totient is φ = 1144627200.

The previous prime is 4764608633. The next prime is 4764608699. The reversal of 4764608640 is 468064674.

4764608640 is a `hidden beast` number, since 4 + 76 + 460 + 86 + 40 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8806770 + ... + 8807310.

Almost surely, 2^4764608640 is an apocalyptic number.

4764608640 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 4764608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9055519200).

4764608640 is an abundant number, since it is smaller than the sum of its proper divisors (13346429760).

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

4764608640 is a wasteful number, since it uses less digits than its factorization.

4764608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 4764608640 is about 69026.1446120236. The cubic root of 4764608640 is about 1682.7092340762.

The spelling of 4764608640 in words is "four billion, seven hundred sixty-four million, six hundred eight thousand, six hundred forty".