20968070760 has 768 divisors, whose sum is σ = 87574556160. Its totient is φ = 4233461760.

The previous prime is 20968070741. The next prime is 20968070771. The reversal of 20968070760 is 6707086902.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89991604 + ... + 89991836.

It is an arithmetic number, because the mean of its divisors is an integer number (114029370).

Almost surely, 2^20968070760 is an apocalyptic number.

20968070760 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 20968070760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43787278080).

20968070760 is an abundant number, since it is smaller than the sum of its proper divisors (66606485400).

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

20968070760 is a wasteful number, since it uses less digits than its factorization.

20968070760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 20968070760 in words is "twenty billion, nine hundred sixty-eight million, seventy thousand, seven hundred sixty".