46004067360 has 144 divisors (see below), whose sum is σ = 157382348760. Its totient is φ = 12237004800.

The previous prime is 46004067359. The next prime is 46004067371. The reversal of 46004067360 is 6376040064.

46004067360 is a `hidden beast` number, since 4 + 600 + 40 + 6 + 7 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45455945616 + 548121744 = 213204^2 + 23412^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537606 + ... + 617274.

Almost surely, 2^46004067360 is an apocalyptic number.

46004067360 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 46004067360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78691174380).

46004067360 is an abundant number, since it is smaller than the sum of its proper divisors (111378281400).

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

46004067360 is a wasteful number, since it uses less digits than its factorization.

46004067360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80091 (or 80080 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 46004067360 in words is "forty-six billion, four million, sixty-seven thousand, three hundred sixty".