46730704000 has 256 divisors, whose sum is σ = 120235845600. Its totient is φ = 18048614400.

The previous prime is 46730703983. The next prime is 46730704001. The reversal of 46730704000 is 40703764.

It can be written as a sum of positive squares in 16 ways, for example, as 705008704 + 46025695296 = 26552^2 + 214536^2 .

It is not an unprimeable number, because it can be changed into a prime (46730704001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114255796 + ... + 114256204.

Almost surely, 2^46730704000 is an apocalyptic number.

46730704000 is a gapful number since it is divisible by the number (40) 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 46730704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60117922800).

46730704000 is an abundant number, since it is smaller than the sum of its proper divisors (73505141600).

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

46730704000 is a wasteful number, since it uses less digits than its factorization.

46730704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The spelling of 46730704000 in words is "forty-six billion, seven hundred thirty million, seven hundred four thousand".