20462724931968 has 768 divisors, whose sum is σ = 67820238420480. Its totient is φ = 6089416704000.

The previous prime is 20462724931949. The next prime is 20462724931969. The reversal of 20462724931968 is 86913942726402.

20462724931968 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 2 + 72 + 493 + 19 + 68 = 666.

It is a super-2 number, since 2×20462724931968² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20462724931969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6728944528 + ... + 6728947568.

It is an arithmetic number, because the mean of its divisors is an integer number (88307602110).

Almost surely, 2^{20462724931968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20462724931968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33910119210240).

20462724931968 is an abundant number, since it is smaller than the sum of its proper divisors (47357513488512).

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

20462724931968 is a wasteful number, since it uses less digits than its factorization.

20462724931968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 20462724931968 in words is "twenty trillion, four hundred sixty-two billion, seven hundred twenty-four million, nine hundred thirty-one thousand, nine hundred sixty-eight".