4748756960640 has 1280 divisors, whose sum is σ = 19792154615040. Its totient is φ = 959706316800.

The previous prime is 4748756960639. The next prime is 4748756960653. The reversal of 4748756960640 is 460696578474.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1876236175 + ... + 1876238705.

It is an arithmetic number, because the mean of its divisors is an integer number (15462620793).

Almost surely, 2^{4748756960640} is an apocalyptic number.

4748756960640 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 4748756960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9896077307520).

4748756960640 is an abundant number, since it is smaller than the sum of its proper divisors (15043397654400).

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

4748756960640 is a wasteful number, since it uses less digits than its factorization.

4748756960640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 66.

The spelling of 4748756960640 in words is "four trillion, seven hundred forty-eight billion, seven hundred fifty-six million, nine hundred sixty thousand, six hundred forty".