39968328960 has 1008 divisors, whose sum is σ = 170505901440. Its totient is φ = 8778792960.

The previous prime is 39968328943. The next prime is 39968328973. The reversal of 39968328960 is 6982386993.

It is a tau number, because it is divible by the number of its divisors (1008).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 189423255 + ... + 189423465.

It is an arithmetic number, because the mean of its divisors is an integer number (169152680).

Almost surely, 2^39968328960 is an apocalyptic number.

39968328960 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 39968328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85252950720).

39968328960 is an abundant number, since it is smaller than the sum of its proper divisors (130537572480).

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

39968328960 is an equidigital number, since it uses as much as digits as its factorization.

39968328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 39968328960 in words is "thirty-nine billion, nine hundred sixty-eight million, three hundred twenty-eight thousand, nine hundred sixty".