64771268004 has 81 divisors (see below), whose sum is σ = 170124230731. Its totient is φ = 21576679560.

The previous prime is 64771267993. The next prime is 64771268039. The reversal of 64771268004 is 40086217746.

The square root of 64771268004 is 254502.

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

64771268004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (81).

It is a Duffinian number.

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, 41228539 + ... + 41230109.

Almost surely, 2^64771268004 is an apocalyptic number.

64771268004 is the 254502-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64771268004

64771268004 is an abundant number, since it is smaller than the sum of its proper divisors (105352962727).

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

64771268004 is an frugal number, since it uses more digits than its factorization.

64771268004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3170 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

It can be divided in two parts, 647712 and 68004, that added together give a square (715716 = 846²).

The spelling of 64771268004 in words is "sixty-four billion, seven hundred seventy-one million, two hundred sixty-eight thousand, four".