4752156824064 has 960 divisors, whose sum is σ = 15961532146560. Its totient is φ = 1348868505600.

The previous prime is 4752156824033. The next prime is 4752156824081. The reversal of 4752156824064 is 4604286512574.

4752156824064 is a `hidden beast` number, since 4 + 7 + 5 + 2 + 156 + 82 + 406 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4752156824064.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7702036684 + ... + 7702037300.

It is an arithmetic number, because the mean of its divisors is an integer number (16626595986).

Almost surely, 2^{4752156824064} 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 4752156824064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7980766073280).

4752156824064 is an abundant number, since it is smaller than the sum of its proper divisors (11209375322496).

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

4752156824064 is a wasteful number, since it uses less digits than its factorization.

4752156824064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 4752156824064 in words is "four trillion, seven hundred fifty-two billion, one hundred fifty-six million, eight hundred twenty-four thousand, sixty-four".