649603468800 has 1440 divisors, whose sum is σ = 2792611261440. Its totient is φ = 142103347200.

The previous prime is 649603468741. The next prime is 649603468841. The reversal of 649603468800 is 8864306946.

649603468800 is a `hidden beast` number, since 6 + 49 + 60 + 3 + 468 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 774258781 + ... + 774259619.

It is an arithmetic number, because the mean of its divisors is an integer number (1939313376).

Almost surely, 2^649603468800 is an apocalyptic number.

649603468800 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 649603468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396305630720).

649603468800 is an abundant number, since it is smaller than the sum of its proper divisors (2143007792640).

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

649603468800 is a wasteful number, since it uses less digits than its factorization.

649603468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 649603468800 in words is "six hundred forty-nine billion, six hundred three million, four hundred sixty-eight thousand, eight hundred".