20776307328 has 384 divisors, whose sum is σ = 72279648000. Its totient is φ = 5857173504.

The previous prime is 20776307311. The next prime is 20776307329. The reversal of 20776307328 is 82370367702.

20776307328 is a `hidden beast` number, since 2 + 0 + 7 + 7 + 630 + 7 + 3 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (20776307329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13377400 + ... + 13378952.

It is an arithmetic number, because the mean of its divisors is an integer number (188228250).

Almost surely, 2^20776307328 is an apocalyptic number.

20776307328 is a gapful number since it is divisible by the number (28) 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 20776307328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36139824000).

20776307328 is an abundant number, since it is smaller than the sum of its proper divisors (51503340672).

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

20776307328 is a wasteful number, since it uses less digits than its factorization.

20776307328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 20776307328 in words is "twenty billion, seven hundred seventy-six million, three hundred seven thousand, three hundred twenty-eight".