46602836672 has 224 divisors, whose sum is σ = 113555312640. Its totient is φ = 18547200000.

The previous prime is 46602836671. The next prime is 46602836689. The reversal of 46602836672 is 27663820664.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 46602836672.

It is not an unprimeable number, because it can be changed into a prime (46602836671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101090522 + ... + 101090982.

It is an arithmetic number, because the mean of its divisors is an integer number (506943360).

Almost surely, 2^46602836672 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 46602836672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56777656320).

46602836672 is an abundant number, since it is smaller than the sum of its proper divisors (66952475968).

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

46602836672 is a wasteful number, since it uses less digits than its factorization.

46602836672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 50.

The spelling of 46602836672 in words is "forty-six billion, six hundred two million, eight hundred thirty-six thousand, six hundred seventy-two".