653741641674 has 144 divisors (see below), whose sum is σ = 1667426552064. Its totient is φ = 183376828800.

The previous prime is 653741641669. The next prime is 653741641691. The reversal of 653741641674 is 476146147356.

653741641674 is a `hidden beast` number, since 6 + 537 + 4 + 1 + 6 + 41 + 67 + 4 = 666.

It is a super-2 number, since 2×653741641674² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 653741641674.

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 71 ways as a sum of consecutive naturals, for example, 3146334 + ... + 3347670.

It is an arithmetic number, because the mean of its divisors is an integer number (11579351056).

Almost surely, 2^653741641674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653741641674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833713276032).

653741641674 is an abundant number, since it is smaller than the sum of its proper divisors (1013684910390).

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

653741641674 is a wasteful number, since it uses less digits than its factorization.

653741641674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201433 (or 201407 counting only the distinct ones).

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

The spelling of 653741641674 in words is "six hundred fifty-three billion, seven hundred forty-one million, six hundred forty-one thousand, six hundred seventy-four".