46533896640 has 1008 divisors, whose sum is σ = 209884207104. Its totient is φ = 9347788800.

The previous prime is 46533896639. The next prime is 46533896653. The reversal of 46533896640 is 4669833564.

46533896640 is a `hidden beast` number, since 4 + 6 + 533 + 8 + 9 + 66 + 40 = 666.

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

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 143 ways as a sum of consecutive naturals, for example, 48121437 + ... + 48122403.

Almost surely, 2^46533896640 is an apocalyptic number.

46533896640 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 46533896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104942103552).

46533896640 is an abundant number, since it is smaller than the sum of its proper divisors (163350310464).

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

46533896640 is a wasteful number, since it uses less digits than its factorization.

46533896640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 46533896640 in words is "forty-six billion, five hundred thirty-three million, eight hundred ninety-six thousand, six hundred forty".