46033712640 has 200 divisors, whose sum is σ = 164878956000. Its totient is φ = 12275601408.

The previous prime is 46033712609. The next prime is 46033712707. The reversal of 46033712640 is 4621733064.

It is a happy number.

46033712640 is a `hidden beast` number, since 4 + 6 + 0 + 3 + 3 + 7 + 1 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 46033712595 and 46033712604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 96361 + ... + 318359.

It is an arithmetic number, because the mean of its divisors is an integer number (824394780).

Almost surely, 2^46033712640 is an apocalyptic number.

46033712640 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 46033712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82439478000).

46033712640 is an abundant number, since it is smaller than the sum of its proper divisors (118845243360).

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

46033712640 is an equidigital number, since it uses as much as digits as its factorization.

46033712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222034 (or 222009 counting only the distinct ones).

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

The spelling of 46033712640 in words is "forty-six billion, thirty-three million, seven hundred twelve thousand, six hundred forty".