653720474577960 has 768 divisors, whose sum is σ = 2175497932608000. Its totient is φ = 170214077030400.

The previous prime is 653720474577949. The next prime is 653720474577967. The reversal of 653720474577960 is 69775474027356.

653720474577960 is a `hidden beast` number, since 6 + 5 + 3 + 7 + 2 + 0 + 47 + 4 + 577 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (653720474577967) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1091353045741 + ... + 1091353046339.

It is an arithmetic number, because the mean of its divisors is an integer number (2832679599750).

Almost surely, 2^{653720474577960} is an apocalyptic number.

653720474577960 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 653720474577960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087748966304000).

653720474577960 is an abundant number, since it is smaller than the sum of its proper divisors (1521777458030040).

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

653720474577960 is a wasteful number, since it uses less digits than its factorization.

653720474577960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 1867017600, while the sum is 72.

The spelling of 653720474577960 in words is "six hundred fifty-three trillion, seven hundred twenty billion, four hundred seventy-four million, five hundred seventy-seven thousand, nine hundred sixty".