5067381600 has 288 divisors, whose sum is σ = 18405072000. Its totient is φ = 1345559040.

The previous prime is 5067381479. The next prime is 5067381629. The reversal of 5067381600 is 61837605.

5067381600 is a `hidden beast` number, since 506 + 73 + 81 + 6 + 0 + 0 = 666.

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

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 8186091 + ... + 8186709.

It is an arithmetic number, because the mean of its divisors is an integer number (63906500).

Almost surely, 2^5067381600 is an apocalyptic number.

5067381600 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 5067381600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9202536000).

5067381600 is an abundant number, since it is smaller than the sum of its proper divisors (13337690400).

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

5067381600 is a wasteful number, since it uses less digits than its factorization.

5067381600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5067381600 is about 71185.5434761862. The cubic root of 5067381600 is about 1717.6230914239.

The spelling of 5067381600 in words is "five billion, sixty-seven million, three hundred eighty-one thousand, six hundred".