641700000072 has 24 divisors (see below), whose sum is σ = 1737937500390. Its totient is φ = 213900000000.

The previous prime is 641700000049. The next prime is 641700000083. The reversal of 641700000072 is 270000007146.

641700000072 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 641687510916 + 12489156 = 801054^2 + 3534^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 641699999991 and 641700000045.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 4456249929 + ... + 4456250072.

Almost surely, 2^641700000072 is an apocalyptic number.

It is an amenable number.

641700000072 is an abundant number, since it is smaller than the sum of its proper divisors (1096237500318).

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

641700000072 is a wasteful number, since it uses less digits than its factorization.

641700000072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8912500013 (or 8912500006 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 641700000072 in words is "six hundred forty-one billion, seven hundred million, seventy-two", and thus it is an aban number.