20762576640 has 576 divisors, whose sum is σ = 81555600000. Its totient is φ = 4968677376.

The previous prime is 20762576633. The next prime is 20762576657. The reversal of 20762576640 is 4667526702.

20762576640 is a `hidden beast` number, since 2 + 0 + 76 + 2 + 576 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 16622736 + ... + 16623984.

Almost surely, 2^20762576640 is an apocalyptic number.

20762576640 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 20762576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40777800000).

20762576640 is an abundant number, since it is smaller than the sum of its proper divisors (60793023360).

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

20762576640 is a wasteful number, since it uses less digits than its factorization.

20762576640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 20762576640 in words is "twenty billion, seven hundred sixty-two million, five hundred seventy-six thousand, six hundred forty".