5067993600 has 720 divisors, whose sum is σ = 19739439720. Its totient is φ = 1238630400.

The previous prime is 5067993583. The next prime is 5067993647. The reversal of 5067993600 is 63997605.

It can be written as a sum of positive squares in 12 ways, for example, as 217149696 + 4850843904 = 14736^2 + 69648^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 123609580 + ... + 123609620.

Almost surely, 2^5067993600 is an apocalyptic number.

5067993600 is a gapful number since it is divisible by the number (50) 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 5067993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9869719860).

5067993600 is an abundant number, since it is smaller than the sum of its proper divisors (14671446120).

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

5067993600 is a wasteful number, since it uses less digits than its factorization.

5067993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 5067993600 is about 71189.8419720117. The cubic root of 5067993600 is about 1717.6922358131.

The spelling of 5067993600 in words is "five billion, sixty-seven million, nine hundred ninety-three thousand, six hundred".