1649682066240 has 336 divisors, whose sum is σ = 6116893582800. Its totient is φ = 405663842304.

The previous prime is 1649682066211. The next prime is 1649682066247. The reversal of 1649682066240 is 426602869461.

1649682066240 is a `hidden beast` number, since 1 + 6 + 4 + 9 + 6 + 8 + 2 + 0 + 6 + 624 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 252614801664 + 1397067264576 = 502608^2 + 1181976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1649682066247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37755126 + ... + 37798794.

It is an arithmetic number, because the mean of its divisors is an integer number (18205040425).

Almost surely, 2^{1649682066240} is an apocalyptic number.

1649682066240 is a gapful number since it is divisible by the number (10) 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 1649682066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058446791400).

1649682066240 is an abundant number, since it is smaller than the sum of its proper divisors (4467211516560).

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

1649682066240 is a wasteful number, since it uses less digits than its factorization.

1649682066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44714 (or 44701 counting only the distinct ones).

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

The spelling of 1649682066240 in words is "one trillion, six hundred forty-nine billion, six hundred eighty-two million, sixty-six thousand, two hundred forty".