39986780064 has 288 divisors, whose sum is σ = 133619673600. Its totient is φ = 10353692160.

The previous prime is 39986780051. The next prime is 39986780069. The reversal of 39986780064 is 46008768993.

It is not an unprimeable number, because it can be changed into a prime (39986780069) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 19609957 + ... + 19611995.

It is an arithmetic number, because the mean of its divisors is an integer number (463957200).

Almost surely, 2^39986780064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39986780064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66809836800).

39986780064 is an abundant number, since it is smaller than the sum of its proper divisors (93632893536).

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

39986780064 is a wasteful number, since it uses less digits than its factorization.

39986780064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 39986780064 in words is "thirty-nine billion, nine hundred eighty-six million, seven hundred eighty thousand, sixty-four".