20042779680 has 1440 divisors, whose sum is σ = 95137555968. Its totient is φ = 3793305600.

The previous prime is 20042779661. The next prime is 20042779681. The reversal of 20042779680 is 8697724002.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (20042779681) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 646541265 + ... + 646541295.

Almost surely, 2^20042779680 is an apocalyptic number.

20042779680 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 20042779680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47568777984).

20042779680 is an abundant number, since it is smaller than the sum of its proper divisors (75094776288).

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

20042779680 is a wasteful number, since it uses less digits than its factorization.

20042779680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 20042779680 in words is "twenty billion, forty-two million, seven hundred seventy-nine thousand, six hundred eighty".