20774969292672 has 1024 divisors, whose sum is σ = 77604529766400. Its totient is φ = 5331076743168.

The previous prime is 20774969292641. The next prime is 20774969292697. The reversal of 20774969292672 is 27629296947702.

20774969292672 is a `hidden beast` number, since 2 + 0 + 77 + 496 + 9 + 2 + 9 + 2 + 67 + 2 = 666.

It is a super-2 number, since 2×20774969292672² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20774969292672.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 4417384273 + ... + 4417388975.

It is an arithmetic number, because the mean of its divisors is an integer number (75785673600).

Almost surely, 2^{20774969292672} 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 20774969292672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38802264883200).

20774969292672 is an abundant number, since it is smaller than the sum of its proper divisors (56829560473728).

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

20774969292672 is a wasteful number, since it uses less digits than its factorization.

20774969292672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5240 (or 5222 counting only the distinct ones).

The product of its (nonzero) digits is 576108288, while the sum is 72.

The spelling of 20774969292672 in words is "twenty trillion, seven hundred seventy-four billion, nine hundred sixty-nine million, two hundred ninety-two thousand, six hundred seventy-two".