4782723563520 has 1440 divisors, whose sum is σ = 20012088894336. Its totient is φ = 1070176665600.

The previous prime is 4782723563491. The next prime is 4782723563531. The reversal of 4782723563520 is 253653272874.

4782723563520 is a `hidden beast` number, since 4 + 7 + 8 + 2 + 7 + 23 + 563 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 79 ways as a sum of consecutive naturals, for example, 22666936215 + ... + 22666936425.

Almost surely, 2^{4782723563520} is an apocalyptic number.

4782723563520 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 4782723563520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10006044447168).

4782723563520 is an abundant number, since it is smaller than the sum of its proper divisors (15229365330816).

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

4782723563520 is an frugal number, since it uses more digits than its factorization.

4782723563520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 4782723563520 in words is "four trillion, seven hundred eighty-two billion, seven hundred twenty-three million, five hundred sixty-three thousand, five hundred twenty".