649852598304 has 768 divisors, whose sum is σ = 2398425845760. Its totient is φ = 168720786432.

The previous prime is 649852598261. The next prime is 649852598359. The reversal of 649852598304 is 403895258946.

649852598304 is a `hidden beast` number, since 6 + 4 + 9 + 8 + 5 + 2 + 598 + 30 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 426691687 + ... + 426693209.

It is an arithmetic number, because the mean of its divisors is an integer number (3122950320).

Almost surely, 2^649852598304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 649852598304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199212922880).

649852598304 is an abundant number, since it is smaller than the sum of its proper divisors (1748573247456).

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

649852598304 is a wasteful number, since it uses less digits than its factorization.

649852598304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 649852598304 in words is "six hundred forty-nine billion, eight hundred fifty-two million, five hundred ninety-eight thousand, three hundred four".