20762108640 has 1152 divisors, whose sum is σ = 95103590400. Its totient is φ = 4001218560.

The previous prime is 20762108623. The next prime is 20762108641. The reversal of 20762108640 is 4680126702.

20762108640 is a `hidden beast` number, since 2 + 0 + 7 + 6 + 2 + 1 + 0 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20762108595 and 20762108604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20762108641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77182426 + ... + 77182694.

It is an arithmetic number, because the mean of its divisors is an integer number (82555200).

Almost surely, 2^20762108640 is an apocalyptic number.

20762108640 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 20762108640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47551795200).

20762108640 is an abundant number, since it is smaller than the sum of its proper divisors (74341481760).

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

20762108640 is a wasteful number, since it uses less digits than its factorization.

20762108640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 20762108640 in words is "twenty billion, seven hundred sixty-two million, one hundred eight thousand, six hundred forty".