20167763616 has 576 divisors, whose sum is σ = 79887015936. Its totient is φ = 4833561600.

The previous prime is 20167763543. The next prime is 20167763657. The reversal of 20167763616 is 61636776102.

20167763616 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 7 + 7 + 636 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7782481 + ... + 7785071.

It is an arithmetic number, because the mean of its divisors is an integer number (138692736).

Almost surely, 2^20167763616 is an apocalyptic number.

20167763616 is a gapful number since it is divisible by the number (26) 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 20167763616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39943507968).

20167763616 is an abundant number, since it is smaller than the sum of its proper divisors (59719252320).

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

20167763616 is a wasteful number, since it uses less digits than its factorization.

20167763616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 20167763616 in words is "twenty billion, one hundred sixty-seven million, seven hundred sixty-three thousand, six hundred sixteen".