22760104640 has 224 divisors, whose sum is σ = 67196451840. Its totient is φ = 7150104576.

The previous prime is 22760104607. The next prime is 22760104663. The reversal of 22760104640 is 4640106722.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 22760104597 and 22760104606.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4044869 + ... + 4050491.

It is an arithmetic number, because the mean of its divisors is an integer number (299984160).

Almost surely, 2^22760104640 is an apocalyptic number.

22760104640 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 22760104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33598225920).

22760104640 is an abundant number, since it is smaller than the sum of its proper divisors (44436347200).

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

22760104640 is a wasteful number, since it uses less digits than its factorization.

22760104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5799 (or 5789 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 22760104640 in words is "twenty-two billion, seven hundred sixty million, one hundred four thousand, six hundred forty".