5075642880 has 480 divisors, whose sum is σ = 21923561088. Its totient is φ = 1054310400.

The previous prime is 5075642867. The next prime is 5075642917. The reversal of 5075642880 is 882465705.

5075642880 is a `hidden beast` number, since 5 + 0 + 7 + 564 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1772650 + ... + 1775510.

Almost surely, 2^5075642880 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 5075642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10961780544).

5075642880 is an abundant number, since it is smaller than the sum of its proper divisors (16847918208).

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

5075642880 is a wasteful number, since it uses less digits than its factorization.

5075642880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 5075642880 is about 71243.5462340274. The cubic root of 5075642880 is about 1718.5559901255. Note that the first 3 decimals are identical.

It can be divided in two parts, 50756 and 42880, that added together give a square (93636 = 306²).

The spelling of 5075642880 in words is "five billion, seventy-five million, six hundred forty-two thousand, eight hundred eighty".