4752209193600 has 384 divisors, whose sum is σ = 17084525806080. Its totient is φ = 1151445299200.

The previous prime is 4752209193547. The next prime is 4752209193617. The reversal of 4752209193600 is 63919022574.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4752209193600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220376419 + ... + 220397981.

It is an arithmetic number, because the mean of its divisors is an integer number (44490952620).

Almost surely, 2^{4752209193600} is an apocalyptic number.

4752209193600 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 4752209193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8542262903040).

4752209193600 is an abundant number, since it is smaller than the sum of its proper divisors (12332316612480).

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

4752209193600 is a wasteful number, since it uses less digits than its factorization.

4752209193600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23688 (or 23671 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 4752209193600 in words is "four trillion, seven hundred fifty-two billion, two hundred nine million, one hundred ninety-three thousand, six hundred".