653484948480 has 2112 divisors, whose sum is σ = 2996764767360. Its totient is φ = 133772083200.

The previous prime is 653484948401. The next prime is 653484948503. The reversal of 653484948480 is 84849484356.

653484948480 is a `hidden beast` number, since 6 + 5 + 34 + 8 + 49 + 484 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 3610413990 + ... + 3610414170.

Almost surely, 2^653484948480 is an apocalyptic number.

653484948480 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 653484948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498382383680).

653484948480 is an abundant number, since it is smaller than the sum of its proper divisors (2343279818880).

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

653484948480 is a wasteful number, since it uses less digits than its factorization.

653484948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 653484948480 in words is "six hundred fifty-three billion, four hundred eighty-four million, nine hundred forty-eight thousand, four hundred eighty".