4945501762560 has 264 divisors, whose sum is σ = 17190832668360. Its totient is φ = 1314583216128.

The previous prime is 4945501762547. The next prime is 4945501762577. The reversal of 4945501762560 is 652671055494.

4945501762560 is a `hidden beast` number, since 4 + 9 + 4 + 5 + 5 + 0 + 1 + 7 + 625 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 652450369536 + 4293051393024 = 807744^2 + 2071968^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4945501762497 and 4945501762506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14251596 + ... + 14594484.

Almost surely, 2^{4945501762560} is an apocalyptic number.

4945501762560 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 4945501762560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8595416334180).

4945501762560 is an abundant number, since it is smaller than the sum of its proper divisors (12245330905800).

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

4945501762560 is a wasteful number, since it uses less digits than its factorization.

4945501762560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343233 (or 343212 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 4945501762560 in words is "four trillion, nine hundred forty-five billion, five hundred one million, seven hundred sixty-two thousand, five hundred sixty".