648449292960 has 1536 divisors, whose sum is σ = 2821754880000. Its totient is φ = 138710347776.

The previous prime is 648449292941. The next prime is 648449292961. The reversal of 648449292960 is 69292944846.

648449292960 is a `hidden beast` number, since 6 + 4 + 84 + 492 + 9 + 2 + 9 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (648449292961) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1806265261 + ... + 1806265619.

It is an arithmetic number, because the mean of its divisors is an integer number (1837080000).

Almost surely, 2^648449292960 is an apocalyptic number.

648449292960 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 648449292960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410877440000).

648449292960 is an abundant number, since it is smaller than the sum of its proper divisors (2173305587040).

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

648449292960 is a wasteful number, since it uses less digits than its factorization.

648449292960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 648449292960 in words is "six hundred forty-eight billion, four hundred forty-nine million, two hundred ninety-two thousand, nine hundred sixty".