648806400000 has 792 divisors, whose sum is σ = 2555739812808. Its totient is φ = 157286400000.

The previous prime is 648806399993. The next prime is 648806400023. The reversal of 648806400000 is 4608846.

648806400000 is a `hidden beast` number, since 6 + 4 + 8 + 8 + 0 + 640 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58982399995 + ... + 58982400005.

Almost surely, 2^648806400000 is an apocalyptic number.

648806400000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

648806400000 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648806400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277869906404).

648806400000 is an abundant number, since it is smaller than the sum of its proper divisors (1906933412808).

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

648806400000 is an frugal number, since it uses more digits than its factorization.

648806400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 648806400000 in words is "six hundred forty-eight billion, eight hundred six million, four hundred thousand".