5046577200 has 360 divisors, whose sum is σ = 20887496448. Its totient is φ = 1103224320.

The previous prime is 5046577199. The next prime is 5046577219. The reversal of 5046577200 is 27756405.

5046577200 is a `hidden beast` number, since 504 + 65 + 77 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×5046577200³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 575247 + ... + 583953.

Almost surely, 2^5046577200 is an apocalyptic number.

5046577200 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 5046577200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10443748224).

5046577200 is an abundant number, since it is smaller than the sum of its proper divisors (15840919248).

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

5046577200 is a wasteful number, since it uses less digits than its factorization.

5046577200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8761 (or 8747 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 5046577200 is about 71039.2651989025. The cubic root of 5046577200 is about 1715.2692701097.

The spelling of 5046577200 in words is "five billion, forty-six million, five hundred seventy-seven thousand, two hundred".