46536577920 has 1536 divisors, whose sum is σ = 210224937600. Its totient is φ = 9661317120.

The previous prime is 46536577891. The next prime is 46536577933. The reversal of 46536577920 is 2977563564.

46536577920 is a `hidden beast` number, since 4 + 65 + 3 + 6 + 577 + 9 + 2 + 0 = 666.

46536577920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 762894690 + ... + 762894750.

Almost surely, 2^46536577920 is an apocalyptic number.

46536577920 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 46536577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105112468800).

46536577920 is an abundant number, since it is smaller than the sum of its proper divisors (163688359680).

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

46536577920 is a wasteful number, since it uses less digits than its factorization.

46536577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 46536577920 in words is "forty-six billion, five hundred thirty-six million, five hundred seventy-seven thousand, nine hundred twenty".