4778332715520 has 2880 divisors, whose sum is σ = 21875883853824. Its totient is φ = 978208358400.

The previous prime is 4778332715509. The next prime is 4778332715537. The reversal of 4778332715520 is 255172338774.

4778332715520 is a `hidden beast` number, since 4 + 7 + 7 + 83 + 3 + 2 + 7 + 1 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31644587445 + ... + 31644587595.

Almost surely, 2^{4778332715520} is an apocalyptic number.

4778332715520 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 4778332715520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10937941926912).

4778332715520 is an abundant number, since it is smaller than the sum of its proper divisors (17097551138304).

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

4778332715520 is a wasteful number, since it uses less digits than its factorization.

4778332715520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 4778332715520 in words is "four trillion, seven hundred seventy-eight billion, three hundred thirty-two million, seven hundred fifteen thousand, five hundred twenty".