46179720720 has 720 divisors, whose sum is σ = 196276352688. Its totient is φ = 9661317120.

The previous prime is 46179720707. The next prime is 46179720751. The reversal of 46179720720 is 2702797164.

46179720720 is a `hidden beast` number, since 4 + 617 + 9 + 7 + 2 + 0 + 7 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2677441536 + 43502279184 = 51744^2 + 208572^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 22190080 + ... + 22192160.

Almost surely, 2^46179720720 is an apocalyptic number.

46179720720 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 46179720720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98138176344).

46179720720 is an abundant number, since it is smaller than the sum of its proper divisors (150096631968).

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

46179720720 is a wasteful number, since it uses less digits than its factorization.

46179720720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 46179720720 in words is "forty-six billion, one hundred seventy-nine million, seven hundred twenty thousand, seven hundred twenty".