4704778251520 has 288 divisors, whose sum is σ = 11783111145120. Its totient is φ = 1798066667520.

The previous prime is 4704778251499. The next prime is 4704778251527. The reversal of 4704778251520 is 251528774074.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 3986379614464 + 718398637056 = 1996592^2 + 847584^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4704778251527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2683842964 + ... + 2683844716.

It is an arithmetic number, because the mean of its divisors is an integer number (40913580365).

Almost surely, 2^{4704778251520} is an apocalyptic number.

4704778251520 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 4704778251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5891555572560).

4704778251520 is an abundant number, since it is smaller than the sum of its proper divisors (7078332893600).

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

4704778251520 is a wasteful number, since it uses less digits than its factorization.

4704778251520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 4390400, while the sum is 52.

The spelling of 4704778251520 in words is "four trillion, seven hundred four billion, seven hundred seventy-eight million, two hundred fifty-one thousand, five hundred twenty".