32106788926464 has 264 divisors, whose sum is σ = 100666496761920. Its totient is φ = 9070292926464.

The previous prime is 32106788926441. The next prime is 32106788926547. The reversal of 32106788926464 is 46462988760123.

It is a super-2 number, since 2×32106788926464² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32106788926395 and 32106788926404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12198709 + ... + 14595275.

Almost surely, 2^{32106788926464} 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 32106788926464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50333248380960).

32106788926464 is an abundant number, since it is smaller than the sum of its proper divisors (68559707835456).

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

32106788926464 is a wasteful number, since it uses less digits than its factorization.

32106788926464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396693 (or 2396668 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 66.

The spelling of 32106788926464 in words is "thirty-two trillion, one hundred six billion, seven hundred eighty-eight million, nine hundred twenty-six thousand, four hundred sixty-four".