22735702080 has 1512 divisors, whose sum is σ = 107713366488. Its totient is φ = 4514807808.

The previous prime is 22735702007. The next prime is 22735702111. The reversal of 22735702080 is 8020753722.

It is a happy number.

22735702080 is a `hidden beast` number, since 2 + 2 + 7 + 3 + 570 + 2 + 0 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1666598976 + 21069103104 = 40824^2 + 145152^2 .

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1337394232 + ... + 1337394248.

It is an arithmetic number, because the mean of its divisors is an integer number (71238999).

Almost surely, 2^22735702080 is an apocalyptic number.

22735702080 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 22735702080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53856683244).

22735702080 is an abundant number, since it is smaller than the sum of its proper divisors (84977664408).

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

22735702080 is an equidigital number, since it uses as much as digits as its factorization.

22735702080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 22735702080 in words is "twenty-two billion, seven hundred thirty-five million, seven hundred two thousand, eighty".