20761634880 has 1120 divisors, whose sum is σ = 91771232256. Its totient is φ = 4347592704.

The previous prime is 20761634833. The next prime is 20761634891. The reversal of 20761634880 is 8843616702.

20761634880 is a `hidden beast` number, since 2 + 0 + 7 + 6 + 1 + 634 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-3 number, since 3×20761634880³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 159 ways as a sum of consecutive naturals, for example, 163477377 + ... + 163477503.

Almost surely, 2^20761634880 is an apocalyptic number.

20761634880 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 20761634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45885616128).

20761634880 is an abundant number, since it is smaller than the sum of its proper divisors (71009597376).

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

20761634880 is a wasteful number, since it uses less digits than its factorization.

20761634880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 20761634880 in words is "twenty billion, seven hundred sixty-one million, six hundred thirty-four thousand, eight hundred eighty".