653941374912 has 672 divisors, whose sum is σ = 2236695552000. Its totient is φ = 178816204800.

The previous prime is 653941374851. The next prime is 653941374929. The reversal of 653941374912 is 219473149356.

653941374912 is a `hidden beast` number, since 6 + 53 + 94 + 13 + 7 + 491 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 3423776737 + ... + 3423776927.

It is an arithmetic number, because the mean of its divisors is an integer number (3328416000).

Almost surely, 2^653941374912 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 653941374912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118347776000).

653941374912 is an abundant number, since it is smaller than the sum of its proper divisors (1582754177088).

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

653941374912 is a wasteful number, since it uses less digits than its factorization.

653941374912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 532 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 653941374912 in words is "six hundred fifty-three billion, nine hundred forty-one million, three hundred seventy-four thousand, nine hundred twelve".