20767896944640 has 720 divisors, whose sum is σ = 74814956536320. Its totient is φ = 5526591897600.

The previous prime is 20767896944611. The next prime is 20767896944651. The reversal of 20767896944640 is 4644969876702.

20767896944640 is a `hidden beast` number, since 2 + 0 + 7 + 6 + 7 + 89 + 69 + 446 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14312815915 + ... + 14312817365.

It is an arithmetic number, because the mean of its divisors is an integer number (103909661856).

Almost surely, 2^{20767896944640} is an apocalyptic number.

20767896944640 is a gapful number since it is divisible by the number (20) 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 20767896944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37407478268160).

20767896944640 is an abundant number, since it is smaller than the sum of its proper divisors (54047059591680).

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

20767896944640 is an frugal number, since it uses more digits than its factorization.

20767896944640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 20767896944640 in words is "twenty trillion, seven hundred sixty-seven billion, eight hundred ninety-six million, nine hundred forty-four thousand, six hundred forty".