653830037616 has 480 divisors, whose sum is σ = 2161126821888. Its totient is φ = 166108078080.

The previous prime is 653830037603. The next prime is 653830037621. The reversal of 653830037616 is 616730038356.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 327405130 + ... + 327407126.

Almost surely, 2^653830037616 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 653830037616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080563410944).

653830037616 is an abundant number, since it is smaller than the sum of its proper divisors (1507296784272).

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

653830037616 is a wasteful number, since it uses less digits than its factorization.

653830037616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 653830037616 in words is "six hundred fifty-three billion, eight hundred thirty million, thirty-seven thousand, six hundred sixteen".