5046672384 has 352 divisors, whose sum is σ = 16965536000. Its totient is φ = 1469104128.

The previous prime is 5046672361. The next prime is 5046672419. The reversal of 5046672384 is 4832766405.

5046672384 is a `hidden beast` number, since 504 + 6 + 67 + 2 + 3 + 84 = 666.

It is a super-3 number, since 3×5046672384³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6828687 + ... + 6829425.

Almost surely, 2^5046672384 is an apocalyptic number.

5046672384 is a gapful number since it is divisible by the number (54) 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 5046672384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8482768000).

5046672384 is an abundant number, since it is smaller than the sum of its proper divisors (11918863616).

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

5046672384 is a wasteful number, since it uses less digits than its factorization.

5046672384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 5046672384 is about 71039.9351351055. The cubic root of 5046672384 is about 1715.2800539973.

The spelling of 5046672384 in words is "five billion, forty-six million, six hundred seventy-two thousand, three hundred eighty-four".