20743296670080 has 768 divisors, whose sum is σ = 77818904064000. Its totient is φ = 5207652311040.

The previous prime is 20743296670069. The next prime is 20743296670093. The reversal of 20743296670080 is 8007669234702.

20743296670080 is a `hidden beast` number, since 2 + 0 + 7 + 432 + 9 + 66 + 70 + 0 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20743296669999 and 20743296670026.

It is a congruent number.

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, 9826288225 + ... + 9826290335.

It is an arithmetic number, because the mean of its divisors is an integer number (101326698000).

Almost surely, 2^{20743296670080} is an apocalyptic number.

20743296670080 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 20743296670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38909452032000).

20743296670080 is an abundant number, since it is smaller than the sum of its proper divisors (57075607393920).

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

20743296670080 is a wasteful number, since it uses less digits than its factorization.

20743296670080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 20743296670080 in words is "twenty trillion, seven hundred forty-three billion, two hundred ninety-six million, six hundred seventy thousand, eighty".