64181824958736 has 135 divisors (see below), whose sum is σ = 182204836293207. Its totient is φ = 21090375351360.

The previous prime is 64181824958683. The next prime is 64181824958759. The reversal of 64181824958736 is 63785942818146.

The square root of 64181824958736 is 8011356.

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

64181824958736 is a `hidden beast` number, since 6 + 4 + 1 + 8 + 1 + 8 + 2 + 4 + 9 + 587 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 6825670611 + ... + 6825680013.

Almost surely, 2^{64181824958736} is an apocalyptic number.

64181824958736 is the 8011356-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64181824958736

64181824958736 is an abundant number, since it is smaller than the sum of its proper divisors (118023011334471).

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

64181824958736 is an frugal number, since it uses more digits than its factorization.

64181824958736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18962 (or 9479 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 72.

The spelling of 64181824958736 in words is "sixty-four trillion, one hundred eighty-one billion, eight hundred twenty-four million, nine hundred fifty-eight thousand, seven hundred thirty-six".