4752715104000 has 432 divisors, whose sum is σ = 17121217538880. Its totient is φ = 1265941094400.

The previous prime is 4752715103993. The next prime is 4752715104041. The reversal of 4752715104000 is 4015172574.

4752715104000 is a `hidden beast` number, since 4 + 75 + 2 + 71 + 510 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 264663022 + ... + 264680978.

Almost surely, 2^{4752715104000} is an apocalyptic number.

4752715104000 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 4752715104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8560608769440).

4752715104000 is an abundant number, since it is smaller than the sum of its proper divisors (12368502434880).

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

4752715104000 is a wasteful number, since it uses less digits than its factorization.

4752715104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18913 (or 18886 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 4752715104000 in words is "four trillion, seven hundred fifty-two billion, seven hundred fifteen million, one hundred four thousand".