648396587520 has 480 divisors, whose sum is σ = 2453991059520. Its totient is φ = 156913336320.

The previous prime is 648396587497. The next prime is 648396587521. The reversal of 648396587520 is 25785693846.

It is a happy number.

648396587520 is a `hidden beast` number, since 6 + 48 + 3 + 9 + 6 + 587 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (648396587521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171576991 + ... + 171580769.

It is an arithmetic number, because the mean of its divisors is an integer number (5112481374).

Almost surely, 2^648396587520 is an apocalyptic number.

648396587520 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 648396587520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226995529760).

648396587520 is an abundant number, since it is smaller than the sum of its proper divisors (1805594472000).

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

648396587520 is a wasteful number, since it uses less digits than its factorization.

648396587520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4496 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 648396587520 in words is "six hundred forty-eight billion, three hundred ninety-six million, five hundred eighty-seven thousand, five hundred twenty".