20676063767040 has 1280 divisors, whose sum is σ = 85487251322880. Its totient is φ = 4681138176000.

The previous prime is 20676063767033. The next prime is 20676063767069. The reversal of 20676063767040 is 4076736067602.

It is a happy number.

20676063767040 is a `hidden beast` number, since 20 + 6 + 7 + 606 + 3 + 7 + 6 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×20676063767040² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1693226535 + ... + 1693238745.

It is an arithmetic number, because the mean of its divisors is an integer number (66786915096).

Almost surely, 2^{20676063767040} is an apocalyptic number.

20676063767040 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 20676063767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42743625661440).

20676063767040 is an abundant number, since it is smaller than the sum of its proper divisors (64811187555840).

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

20676063767040 is a wasteful number, since it uses less digits than its factorization.

20676063767040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12402 (or 12380 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 20676063767040 in words is "twenty trillion, six hundred seventy-six billion, sixty-three million, seven hundred sixty-seven thousand, forty".