1607971000064 has 72 divisors (see below), whose sum is σ = 3770790470832. Its totient is φ = 674673131520.

The previous prime is 1607971000061. The next prime is 1607971000183. The reversal of 1607971000064 is 4600001797061.

It is a junction number, because it is equal to n+sod(n) for n = 1607970999985 and 1607971000030.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1607971000061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21925409 + ... + 21998624.

Almost surely, 2^{1607971000064} is an apocalyptic number.

It is an amenable number.

1607971000064 is an abundant number, since it is smaller than the sum of its proper divisors (2162819470768).

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

1607971000064 is a wasteful number, since it uses less digits than its factorization.

1607971000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43924073 (or 43924059 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 41.

The spelling of 1607971000064 in words is "one trillion, six hundred seven billion, nine hundred seventy-one million, sixty-four", and thus it is an aban number.