5077721376 has 288 divisors, whose sum is σ = 17857607040. Its totient is φ = 1332744192.

The previous prime is 5077721359. The next prime is 5077721377. The reversal of 5077721376 is 6731277705.

5077721376 is a `hidden beast` number, since 507 + 7 + 7 + 2 + 137 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (5077721377) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8202795 + ... + 8203413.

It is an arithmetic number, because the mean of its divisors is an integer number (62005580).

Almost surely, 2^5077721376 is an apocalyptic number.

5077721376 is a gapful number since it is divisible by the number (56) 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 5077721376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928803520).

5077721376 is an abundant number, since it is smaller than the sum of its proper divisors (12779885664).

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

5077721376 is a wasteful number, since it uses less digits than its factorization.

5077721376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 432180, while the sum is 45.

The square root of 5077721376 is about 71258.1319990919. The cubic root of 5077721376 is about 1718.7905432887.

The spelling of 5077721376 in words is "five billion, seventy-seven million, seven hundred twenty-one thousand, three hundred seventy-six".