39680928000 has 864 divisors, whose sum is σ = 169457084160. Its totient is φ = 9069926400.

The previous prime is 39680927983. The next prime is 39680928103. The reversal of 39680928000 is 82908693.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5668703997 + ... + 5668704003.

Almost surely, 2^39680928000 is an apocalyptic number.

39680928000 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 39680928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84728542080).

39680928000 is an abundant number, since it is smaller than the sum of its proper divisors (129776156160).

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

39680928000 is an frugal number, since it uses more digits than its factorization.

39680928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 39680928000 in words is "thirty-nine billion, six hundred eighty million, nine hundred twenty-eight thousand".