63305164673874 has 128 divisors (see below), whose sum is σ = 146127873024000. Its totient is φ = 20292845474880.

The previous prime is 63305164673827. The next prime is 63305164673981. The reversal of 63305164673874 is 47837646150336.

63305164673874 is a `hidden beast` number, since 6 + 3 + 3 + 0 + 516 + 46 + 7 + 3 + 8 + 74 = 666.

63305164673874 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2755621852 + ... + 2755644824.

It is an arithmetic number, because the mean of its divisors is an integer number (1141624008000).

Almost surely, 2^{63305164673874} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63305164673874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73063936512000).

63305164673874 is an abundant number, since it is smaller than the sum of its proper divisors (82822708350126).

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

63305164673874 is a wasteful number, since it uses less digits than its factorization.

63305164673874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33277 (or 33271 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 63.

The spelling of 63305164673874 in words is "sixty-three trillion, three hundred five billion, one hundred sixty-four million, six hundred seventy-three thousand, eight hundred seventy-four".