39789648368640 has 352 divisors, whose sum is σ = 147553291157760. Its totient is φ = 10149242830848.

The previous prime is 39789648368579. The next prime is 39789648368693. The reversal of 39789648368640 is 4686384698793.

39789648368640 is a `hidden beast` number, since 3 + 9 + 7 + 8 + 96 + 483 + 6 + 8 + 6 + 40 = 666.

It is a super-2 number, since 2×39789648368640² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 39789648368640.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3077659 + ... + 9436698.

Almost surely, 2^{39789648368640} is an apocalyptic number.

39789648368640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

39789648368640 is an abundant number, since it is smaller than the sum of its proper divisors (107763642789120).

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

39789648368640 is a wasteful number, since it uses less digits than its factorization.

39789648368640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12514414 (or 12514390 counting only the distinct ones).

The product of its (nonzero) digits is 9029615616, while the sum is 81.

The spelling of 39789648368640 in words is "thirty-nine trillion, seven hundred eighty-nine billion, six hundred forty-eight million, three hundred sixty-eight thousand, six hundred forty".