5625463268736 has 768 divisors, whose sum is σ = 17937398169600. Its totient is φ = 1685528248320.

The previous prime is 5625463268683. The next prime is 5625463268741. The reversal of 5625463268736 is 6378623645265.

5625463268736 is a `hidden beast` number, since 5 + 6 + 2 + 546 + 3 + 2 + 6 + 87 + 3 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8358786096 + ... + 8358786768.

It is an arithmetic number, because the mean of its divisors is an integer number (23355987200).

Almost surely, 2^{5625463268736} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5625463268736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8968699084800).

5625463268736 is an abundant number, since it is smaller than the sum of its proper divisors (12311934900864).

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

5625463268736 is a wasteful number, since it uses less digits than its factorization.

5625463268736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 952 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 63.

The spelling of 5625463268736 in words is "five trillion, six hundred twenty-five billion, four hundred sixty-three million, two hundred sixty-eight thousand, seven hundred thirty-six".