39628068624 has 135 divisors (see below), whose sum is σ = 113397844287. Its totient is φ = 12918716928.

The previous prime is 39628068607. The next prime is 39628068631. The reversal of 39628068624 is 42686082693.

The square root of 39628068624 is 199068.

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

39628068624 is a `hidden beast` number, since 3 + 9 + 6 + 2 + 8 + 0 + 6 + 8 + 624 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8341534224 + 31286534400 = 91332^2 + 176880^2 .

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 26 ways as a sum of consecutive naturals, for example, 126607092 + ... + 126607404.

Almost surely, 2^39628068624 is an apocalyptic number.

39628068624 is the 199068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39628068624

39628068624 is an abundant number, since it is smaller than the sum of its proper divisors (73769775663).

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

39628068624 is an equidigital number, since it uses as much as digits as its factorization.

39628068624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 39628068624 in words is "thirty-nine billion, six hundred twenty-eight million, sixty-eight thousand, six hundred twenty-four".