648921909580560 has 3200 divisors, whose sum is σ = 2997293728923648. Its totient is φ = 126140281344000.

The previous prime is 648921909580519. The next prime is 648921909580621. The reversal of 648921909580560 is 65085909129846.

648921909580560 is a `hidden beast` number, since 6 + 4 + 8 + 9 + 2 + 1 + 9 + 0 + 9 + 58 + 0 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 103479810225 + ... + 103479816495.

Almost surely, 2^{648921909580560} is an apocalyptic number.

648921909580560 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 648921909580560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498646864461824).

648921909580560 is an abundant number, since it is smaller than the sum of its proper divisors (2348371819343088).

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

648921909580560 is a wasteful number, since it uses less digits than its factorization.

648921909580560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6535 (or 6520 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 72.

The spelling of 648921909580560 in words is "six hundred forty-eight trillion, nine hundred twenty-one billion, nine hundred nine million, five hundred eighty thousand, five hundred sixty".