22776259968 has 384 divisors, whose sum is σ = 85312310400. Its totient is φ = 5915427840.

The previous prime is 22776259921. The next prime is 22776260021. The reversal of 22776259968 is 86995267722.

22776259968 is a `hidden beast` number, since 227 + 76 + 259 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×22776259968² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 1856671 + ... + 1868897.

It is an arithmetic number, because the mean of its divisors is an integer number (222167475).

Almost surely, 2^22776259968 is an apocalyptic number.

22776259968 is a gapful number since it is divisible by the number (28) 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 22776259968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42656155200).

22776259968 is an abundant number, since it is smaller than the sum of its proper divisors (62536050432).

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

22776259968 is a wasteful number, since it uses less digits than its factorization.

22776259968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12275 (or 12250 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 22776259968 in words is "twenty-two billion, seven hundred seventy-six million, two hundred fifty-nine thousand, nine hundred sixty-eight".