648949593600 has 1440 divisors, whose sum is σ = 2920843411200. Its totient is φ = 133668864000.

The previous prime is 648949593571. The next prime is 648949593613. The reversal of 648949593600 is 6395949846.

648949593600 is a `hidden beast` number, since 6 + 4 + 89 + 495 + 9 + 3 + 60 + 0 = 666.

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

It is a super-2 number, since 2×648949593600² (a number of 24 digits) contains 22 as substring.

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

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, 1321689355 + ... + 1321689845.

It is an arithmetic number, because the mean of its divisors is an integer number (2028363480).

Almost surely, 2^648949593600 is an apocalyptic number.

648949593600 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 648949593600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460421705600).

648949593600 is an abundant number, since it is smaller than the sum of its proper divisors (2271893817600).

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

648949593600 is a wasteful number, since it uses less digits than its factorization.

648949593600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 648949593600 in words is "six hundred forty-eight billion, nine hundred forty-nine million, five hundred ninety-three thousand, six hundred".