46935080640 has 1008 divisors, whose sum is σ = 201240469248. Its totient is φ = 10198628352.

The previous prime is 46935080561. The next prime is 46935080651. The reversal of 46935080640 is 4608053964.

46935080640 is a `hidden beast` number, since 469 + 3 + 50 + 80 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 287945199 + ... + 287945361.

Almost surely, 2^46935080640 is an apocalyptic number.

46935080640 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 46935080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100620234624).

46935080640 is an abundant number, since it is smaller than the sum of its proper divisors (154305388608).

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

46935080640 is a wasteful number, since it uses less digits than its factorization.

46935080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 46935080640 in words is "forty-six billion, nine hundred thirty-five million, eighty thousand, six hundred forty".