4752019464192 has 1792 divisors, whose sum is σ = 19165121740800. Its totient is φ = 1130374103040.

The previous prime is 4752019464173. The next prime is 4752019464253. The reversal of 4752019464192 is 2914649102574.

4752019464192 is a `hidden beast` number, since 4 + 75 + 20 + 1 + 9 + 464 + 1 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37417476033 + ... + 37417476159.

It is an arithmetic number, because the mean of its divisors is an integer number (10694822400).

Almost surely, 2^{4752019464192} is an apocalyptic number.

4752019464192 is a gapful number since it is divisible by the number (42) 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 4752019464192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9582560870400).

4752019464192 is an abundant number, since it is smaller than the sum of its proper divisors (14413102276608).

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

4752019464192 is a wasteful number, since it uses less digits than its factorization.

4752019464192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 4752019464192 in words is "four trillion, seven hundred fifty-two billion, nineteen million, four hundred sixty-four thousand, one hundred ninety-two".