4753239740928 has 720 divisors, whose sum is σ = 16790112723384. Its totient is φ = 1289042657280.

The previous prime is 4753239740911. The next prime is 4753239740929. The reversal of 4753239740928 is 8290479323574.

4753239740928 is a `hidden beast` number, since 4 + 7 + 532 + 3 + 9 + 7 + 4 + 0 + 92 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2774063464704 + 1979176276224 = 1665552^2 + 1406832^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4753239740929) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 342519526 + ... + 342533402.

Almost surely, 2^{4753239740928} is an apocalyptic number.

4753239740928 is a gapful number since it is divisible by the number (48) 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 4753239740928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8395056361692).

4753239740928 is an abundant number, since it is smaller than the sum of its proper divisors (12036872982456).

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

4753239740928 is a wasteful number, since it uses less digits than its factorization.

4753239740928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13993 (or 13967 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 4753239740928 in words is "four trillion, seven hundred fifty-three billion, two hundred thirty-nine million, seven hundred forty thousand, nine hundred twenty-eight".