46284618240 has 640 divisors, whose sum is σ = 190374243840. Its totient is φ = 10570383360.

The previous prime is 46284618239. The next prime is 46284618277. The reversal of 46284618240 is 4281648264.

46284618240 is a `hidden beast` number, since 4 + 6 + 2 + 8 + 4 + 618 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39190450 + ... + 39191630.

It is an arithmetic number, because the mean of its divisors is an integer number (297459756).

Almost surely, 2^46284618240 is an apocalyptic number.

46284618240 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 46284618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95187121920).

46284618240 is an abundant number, since it is smaller than the sum of its proper divisors (144089625600).

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

46284618240 is an frugal number, since it uses more digits than its factorization.

46284618240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 46284618240 in words is "forty-six billion, two hundred eighty-four million, six hundred eighteen thousand, two hundred forty".