20767114368 has 1536 divisors, whose sum is σ = 89820057600. Its totient is φ = 4598415360.

The previous prime is 20767114271. The next prime is 20767114369. The reversal of 20767114368 is 86341176702.

20767114368 is a `hidden beast` number, since 207 + 6 + 7 + 1 + 1 + 436 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20767114369) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 716107378 + ... + 716107406.

It is an arithmetic number, because the mean of its divisors is an integer number (58476600).

Almost surely, 2^20767114368 is an apocalyptic number.

20767114368 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 20767114368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44910028800).

20767114368 is an abundant number, since it is smaller than the sum of its proper divisors (69052943232).

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

20767114368 is a wasteful number, since it uses less digits than its factorization.

20767114368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 20767114368 in words is "twenty billion, seven hundred sixty-seven million, one hundred fourteen thousand, three hundred sixty-eight".