39468678439680 has 864 divisors, whose sum is σ = 168047195097600. Its totient is φ = 8346812940288.

The previous prime is 39468678439613. The next prime is 39468678439699. The reversal of 39468678439680 is 8693487686493.

39468678439680 is a `hidden beast` number, since 3 + 9 + 4 + 6 + 86 + 78 + 4 + 396 + 80 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 39468678439680.

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 95 ways as a sum of consecutive naturals, for example, 80637931 + ... + 81125909.

It is an arithmetic number, because the mean of its divisors is an integer number (194499068400).

Almost surely, 2^{39468678439680} is an apocalyptic number.

39468678439680 is a gapful number since it is divisible by the number (30) 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 39468678439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84023597548800).

39468678439680 is an abundant number, since it is smaller than the sum of its proper divisors (128578516657920).

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

39468678439680 is a wasteful number, since it uses less digits than its factorization.

39468678439680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488089 (or 488072 counting only the distinct ones).

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

The spelling of 39468678439680 in words is "thirty-nine trillion, four hundred sixty-eight billion, six hundred seventy-eight million, four hundred thirty-nine thousand, six hundred eighty".