653680497600 has 1008 divisors, whose sum is σ = 2708017009152. Its totient is φ = 153882685440.

The previous prime is 653680497557. The next prime is 653680497619. The reversal of 653680497600 is 6794086356.

653680497600 is a `hidden beast` number, since 6 + 536 + 8 + 0 + 49 + 7 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 116248389 + ... + 116254011.

Almost surely, 2^653680497600 is an apocalyptic number.

653680497600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653680497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354008504576).

653680497600 is an abundant number, since it is smaller than the sum of its proper divisors (2054336511552).

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

653680497600 is a wasteful number, since it uses less digits than its factorization.

653680497600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5696 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 653680497600 in words is "six hundred fifty-three billion, six hundred eighty million, four hundred ninety-seven thousand, six hundred".