64605438976 has 165 divisors, whose sum is σ = 142949864339. Its totient is φ = 29183471616.

The previous prime is 64605438971. The next prime is 64605438983. The reversal of 64605438976 is 67983450646.

It is a happy number.

The square root of 64605438976 is 254176.

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

It can be written as a sum of positive squares in 2 ways, for example, as 32032408576 + 32573030400 = 178976^2 + 180480^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 64605438976.

It is not an unprimeable number, because it can be changed into a prime (64605438971) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1374583785 + ... + 1374583831.

Almost surely, 2^64605438976 is an apocalyptic number.

64605438976 is the 254176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64605438976

64605438976 is an abundant number, since it is smaller than the sum of its proper divisors (78344425363).

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

64605438976 is an frugal number, since it uses more digits than its factorization.

64605438976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 58.

The spelling of 64605438976 in words is "sixty-four billion, six hundred five million, four hundred thirty-eight thousand, nine hundred seventy-six".