46729300800 has 2016 divisors, whose sum is σ = 217156101120. Its totient is φ = 8670412800.

The previous prime is 46729300799. The next prime is 46729300843. The reversal of 46729300800 is 800392764.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 287 ways as a sum of consecutive naturals, for example, 1507396785 + ... + 1507396815.

It is an arithmetic number, because the mean of its divisors is an integer number (107716320).

Almost surely, 2^46729300800 is an apocalyptic number.

46729300800 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 46729300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108578050560).

46729300800 is an abundant number, since it is smaller than the sum of its proper divisors (170426800320).

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

46729300800 is a wasteful number, since it uses less digits than its factorization.

46729300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 46729300800 in words is "forty-six billion, seven hundred twenty-nine million, three hundred thousand, eight hundred".