4748768640 has 1024 divisors, whose sum is σ = 21714739200. Its totient is φ = 952197120.

The previous prime is 4748768621. The next prime is 4748768659. The reversal of 4748768640 is 468678474.

4748768640 is a `hidden beast` number, since 47 + 487 + 6 + 86 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4748768621) and next prime (4748768659).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57214039 + ... + 57214121.

It is an arithmetic number, because the mean of its divisors is an integer number (21205800).

Almost surely, 2^4748768640 is an apocalyptic number.

4748768640 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 4748768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10857369600).

4748768640 is an abundant number, since it is smaller than the sum of its proper divisors (16965970560).

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

4748768640 is a wasteful number, since it uses less digits than its factorization.

4748768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The square root of 4748768640 is about 68911.3099570745. The cubic root of 4748768640 is about 1680.8424346341.

The spelling of 4748768640 in words is "four billion, seven hundred forty-eight million, seven hundred sixty-eight thousand, six hundred forty".