39980328960 has 768 divisors, whose sum is σ = 158505984000. Its totient is φ = 8458076160.

The previous prime is 39980328953. The next prime is 39980328977. The reversal of 39980328960 is 6982308993.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 39980328960.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83466001 + ... + 83466479.

It is an arithmetic number, because the mean of its divisors is an integer number (206388000).

Almost surely, 2^39980328960 is an apocalyptic number.

39980328960 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 39980328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79252992000).

39980328960 is an abundant number, since it is smaller than the sum of its proper divisors (118525655040).

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

39980328960 is a wasteful number, since it uses less digits than its factorization.

39980328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 57.

The spelling of 39980328960 in words is "thirty-nine billion, nine hundred eighty million, three hundred twenty-eight thousand, nine hundred sixty".