5075658720 has 768 divisors, whose sum is σ = 21058652160. Its totient is φ = 1128038400.

The previous prime is 5075658691. The next prime is 5075658739. The reversal of 5075658720 is 278565705.

5075658720 is a `hidden beast` number, since 5 + 0 + 7 + 565 + 87 + 2 + 0 = 666.

It is a super-2 number, since 2×5075658720² = 51524622883824076800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49278189 + ... + 49278291.

It is an arithmetic number, because the mean of its divisors is an integer number (27420120).

Almost surely, 2^5075658720 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 5075658720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10529326080).

5075658720 is an abundant number, since it is smaller than the sum of its proper divisors (15982993440).

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

5075658720 is a wasteful number, since it uses less digits than its factorization.

5075658720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The square root of 5075658720 is about 71243.6574019049. The cubic root of 5075658720 is about 1718.5577778727.

The spelling of 5075658720 in words is "five billion, seventy-five million, six hundred fifty-eight thousand, seven hundred twenty".