39740516864064 has 189 divisors, whose sum is σ = 121011527385021. Its totient is φ = 12466806220800.

The previous prime is 39740516863997. The next prime is 39740516864161. The reversal of 39740516864064 is 46046861504793.

The square root of 39740516864064 is 6304008.

It is a perfect power (a square), and thus also a powerful number.

39740516864064 is a `hidden beast` number, since 3 + 9 + 7 + 405 + 168 + 6 + 4 + 0 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30939848769600 + 8800668094464 = 5562360^2 + 2966592^2 .

It is a junction number, because it is equal to n+sod(n) for n = 39740516863992 and 39740516864010.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2572027539 + ... + 2572042989.

Almost surely, 2^{39740516864064} is an apocalyptic number.

39740516864064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

39740516864064 is the 6304008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39740516864064

39740516864064 is an abundant number, since it is smaller than the sum of its proper divisors (81271010520957).

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

39740516864064 is an frugal number, since it uses more digits than its factorization.

39740516864064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30954 (or 15473 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 39740516864064 in words is "thirty-nine trillion, seven hundred forty billion, five hundred sixteen million, eight hundred sixty-four thousand, sixty-four".