22795476480 has 960 divisors, whose sum is σ = 97744458240. Its totient is φ = 4793499648.

The previous prime is 22795476449. The next prime is 22795476607. The reversal of 22795476480 is 8467459722.

22795476480 is a `hidden beast` number, since 2 + 2 + 7 + 95 + 4 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131765674 + ... + 131765846.

It is an arithmetic number, because the mean of its divisors is an integer number (101817144).

Almost surely, 2^22795476480 is an apocalyptic number.

22795476480 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 22795476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48872229120).

22795476480 is an abundant number, since it is smaller than the sum of its proper divisors (74948981760).

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

22795476480 is a wasteful number, since it uses less digits than its factorization.

22795476480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 22795476480 in words is "twenty-two billion, seven hundred ninety-five million, four hundred seventy-six thousand, four hundred eighty".