648058700160 has 1024 divisors, whose sum is σ = 2556417024000. Its totient is φ = 154474905600.

The previous prime is 648058700143. The next prime is 648058700167. The reversal of 648058700160 is 61007850846.

It is a happy number.

648058700160 is a `hidden beast` number, since 6 + 4 + 8 + 0 + 587 + 0 + 0 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648058700167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 417293944 + ... + 417295496.

It is an arithmetic number, because the mean of its divisors is an integer number (2496501000).

Almost surely, 2^648058700160 is an apocalyptic number.

648058700160 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 648058700160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278208512000).

648058700160 is an abundant number, since it is smaller than the sum of its proper divisors (1908358323840).

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

648058700160 is a wasteful number, since it uses less digits than its factorization.

648058700160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 648058700160 in words is "six hundred forty-eight billion, fifty-eight million, seven hundred thousand, one hundred sixty".