648736564800 has 504 divisors, whose sum is σ = 2359379722176. Its totient is φ = 155733360640.

The previous prime is 648736564799. The next prime is 648736564807. The reversal of 648736564800 is 8465637846.

It is a super-3 number, since 3×648736564800³ (a number of 36 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (648736564807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31895434 + ... + 31915766.

Almost surely, 2^648736564800 is an apocalyptic number.

648736564800 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 648736564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179689861088).

648736564800 is an abundant number, since it is smaller than the sum of its proper divisors (1710643157376).

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

648736564800 is a wasteful number, since it uses less digits than its factorization.

648736564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20415 (or 20383 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 648736564800 in words is "six hundred forty-eight billion, seven hundred thirty-six million, five hundred sixty-four thousand, eight hundred".