653397622272 has 240 divisors, whose sum is σ = 1992510439920. Its totient is φ = 213687631872.

The previous prime is 653397622253. The next prime is 653397622277. The reversal of 653397622272 is 272226793356.

It is a happy number.

653397622272 is a `hidden beast` number, since 6 + 5 + 3 + 3 + 9 + 7 + 622 + 2 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653397622277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6544504 + ... + 6643592.

It is an arithmetic number, because the mean of its divisors is an integer number (8302126833).

Almost surely, 2^653397622272 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 653397622272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996255219960).

653397622272 is an abundant number, since it is smaller than the sum of its proper divisors (1339112817648).

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

653397622272 is an frugal number, since it uses more digits than its factorization.

653397622272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99175 (or 99147 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 54.

The spelling of 653397622272 in words is "six hundred fifty-three billion, three hundred ninety-seven million, six hundred twenty-two thousand, two hundred seventy-two".