5046706800 has 180 divisors, whose sum is σ = 17543769984. Its totient is φ = 1343462400.

The previous prime is 5046706787. The next prime is 5046706801. The reversal of 5046706800 is 86076405.

It is a happy number.

5046706800 is a `hidden beast` number, since 504 + 6 + 70 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5046706801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3430065 + ... + 3431535.

Almost surely, 2^5046706800 is an apocalyptic number.

5046706800 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 5046706800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8771884992).

5046706800 is an abundant number, since it is smaller than the sum of its proper divisors (12497063184).

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

5046706800 is a wasteful number, since it uses less digits than its factorization.

5046706800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5046706800 is about 71040.1773646435. The cubic root of 5046706800 is about 1715.2839531305.

The spelling of 5046706800 in words is "five billion, forty-six million, seven hundred six thousand, eight hundred".