46828782720 has 384 divisors, whose sum is σ = 170096734080. Its totient is φ = 12308889600.

The previous prime is 46828782701. The next prime is 46828782761. The reversal of 46828782720 is 2728782864.

46828782720 is a `hidden beast` number, since 468 + 2 + 87 + 82 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11039800 + ... + 11044040.

It is an arithmetic number, because the mean of its divisors is an integer number (442960245).

Almost surely, 2^46828782720 is an apocalyptic number.

46828782720 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 46828782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85048367040).

46828782720 is an abundant number, since it is smaller than the sum of its proper divisors (123267951360).

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

46828782720 is an equidigital number, since it uses as much as digits as its factorization.

46828782720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4346 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 46828782720 in words is "forty-six billion, eight hundred twenty-eight million, seven hundred eighty-two thousand, seven hundred twenty".