46740506101632 has 512 divisors, whose sum is σ = 166011452928000. Its totient is φ = 12647199430656.

The previous prime is 46740506101559. The next prime is 46740506101733. The reversal of 46740506101632 is 23610160504764.

46740506101632 is a `hidden beast` number, since 4 + 6 + 7 + 4 + 0 + 5 + 0 + 6 + 1 + 0 + 1 + 632 = 666.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1464882223 + ... + 1464914129.

It is an arithmetic number, because the mean of its divisors is an integer number (324241119000).

Almost surely, 2^{46740506101632} is an apocalyptic number.

46740506101632 is a gapful number since it is divisible by the number (42) 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 46740506101632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83005726464000).

46740506101632 is an abundant number, since it is smaller than the sum of its proper divisors (119270946826368).

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

46740506101632 is a wasteful number, since it uses less digits than its factorization.

46740506101632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35143 (or 35125 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 46740506101632 in words is "forty-six trillion, seven hundred forty billion, five hundred six million, one hundred one thousand, six hundred thirty-two".