20440772064 has 192 divisors, whose sum is σ = 62555996160. Its totient is φ = 6485184000.

The previous prime is 20440772057. The next prime is 20440772101. The reversal of 20440772064 is 46027704402.

It is a happy number.

20440772064 is a `hidden beast` number, since 2 + 0 + 440 + 7 + 7 + 206 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1627569 + ... + 1640079.

It is an arithmetic number, because the mean of its divisors is an integer number (325812480).

Almost surely, 2^20440772064 is an apocalyptic number.

20440772064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20440772064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31277998080).

20440772064 is an abundant number, since it is smaller than the sum of its proper divisors (42115224096).

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

20440772064 is a wasteful number, since it uses less digits than its factorization.

20440772064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12622 (or 12608 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 20440772064 in words is "twenty billion, four hundred forty million, seven hundred seventy-two thousand, sixty-four".