21762548640 has 960 divisors, whose sum is σ = 94526175744. Its totient is φ = 4602396672.

The previous prime is 21762548627. The next prime is 21762548693. The reversal of 21762548640 is 4684526712.

21762548640 is a `hidden beast` number, since 2 + 1 + 7 + 62 + 548 + 6 + 40 = 666.

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, 158850652 + ... + 158850788.

Almost surely, 2^21762548640 is an apocalyptic number.

21762548640 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 21762548640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47263087872).

21762548640 is an abundant number, since it is smaller than the sum of its proper divisors (72763627104).

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

21762548640 is a wasteful number, since it uses less digits than its factorization.

21762548640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 21762548640 in words is "twenty-one billion, seven hundred sixty-two million, five hundred forty-eight thousand, six hundred forty".