20678701680 has 1280 divisors, whose sum is σ = 94993920000. Its totient is φ = 4096770048.

The previous prime is 20678701679. The next prime is 20678701727. The reversal of 20678701680 is 8610787602.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 182997304 + ... + 182997416.

It is an arithmetic number, because the mean of its divisors is an integer number (74214000).

Almost surely, 2^20678701680 is an apocalyptic number.

20678701680 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 20678701680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47496960000).

20678701680 is an abundant number, since it is smaller than the sum of its proper divisors (74315218320).

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

20678701680 is a wasteful number, since it uses less digits than its factorization.

20678701680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 20678701680 in words is "twenty billion, six hundred seventy-eight million, seven hundred one thousand, six hundred eighty".