46507836672 has 432 divisors, whose sum is σ = 151237195200. Its totient is φ = 13624934400.

The previous prime is 46507836607. The next prime is 46507836677. The reversal of 46507836672 is 27663870564.

46507836672 is a `hidden beast` number, since 4 + 6 + 507 + 8 + 3 + 66 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46507836677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103580704 + ... + 103581152.

It is an arithmetic number, because the mean of its divisors is an integer number (350086100).

Almost surely, 2^46507836672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46507836672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75618597600).

46507836672 is an abundant number, since it is smaller than the sum of its proper divisors (104729358528).

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

46507836672 is a wasteful number, since it uses less digits than its factorization.

46507836672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 46507836672 in words is "forty-six billion, five hundred seven million, eight hundred thirty-six thousand, six hundred seventy-two".