46533199680 has 896 divisors, whose sum is σ = 192454133760. Its totient is φ = 10459054080.

The previous prime is 46533199637. The next prime is 46533199717. The reversal of 46533199680 is 8699133564.

46533199680 is a `hidden beast` number, since 4 + 6 + 533 + 19 + 96 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 134101267 + ... + 134101613.

It is an arithmetic number, because the mean of its divisors is an integer number (214792560).

Almost surely, 2^46533199680 is an apocalyptic number.

46533199680 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 46533199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96227066880).

46533199680 is an abundant number, since it is smaller than the sum of its proper divisors (145920934080).

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

46533199680 is a wasteful number, since it uses less digits than its factorization.

46533199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 46533199680 in words is "forty-six billion, five hundred thirty-three million, one hundred ninety-nine thousand, six hundred eighty".