22820732640 has 216 divisors, whose sum is σ = 80870582520. Its totient is φ = 6085248768.

The previous prime is 22820732621. The next prime is 22820732651. The reversal of 22820732640 is 4623702822.

It is a happy number.

22820732640 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 0 + 7 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×22820732640² (a number of 22 digits) contains 22 as substring.

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 = 22820732595 and 22820732604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1038891 + ... + 1060629.

It is an arithmetic number, because the mean of its divisors is an integer number (374400845).

Almost surely, 2^22820732640 is an apocalyptic number.

22820732640 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 22820732640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40435291260).

22820732640 is an abundant number, since it is smaller than the sum of its proper divisors (58049849880).

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

22820732640 is an frugal number, since it uses more digits than its factorization.

22820732640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21778 (or 21749 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 22820732640 in words is "twenty-two billion, eight hundred twenty million, seven hundred thirty-two thousand, six hundred forty".