4752207532800 has 3888 divisors, whose sum is σ = 22763114004960. Its totient is φ = 978208358400.

The previous prime is 4752207532771. The next prime is 4752207532819. The reversal of 4752207532800 is 82357022574.

4752207532800 is a `hidden beast` number, since 47 + 52 + 20 + 7 + 532 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 115907500780 + ... + 115907500820.

Almost surely, 2^{4752207532800} is an apocalyptic number.

4752207532800 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 4752207532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11381557002480).

4752207532800 is an abundant number, since it is smaller than the sum of its proper divisors (18010906472160).

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

4752207532800 is an equidigital number, since it uses as much as digits as its factorization.

4752207532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 4752207532800 in words is "four trillion, seven hundred fifty-two billion, two hundred seven million, five hundred thirty-two thousand, eight hundred".