22278678400 has 384 divisors, whose sum is σ = 63108460800. Its totient is φ = 7698432000.

The previous prime is 22278678397. The next prime is 22278678403. The reversal of 22278678400 is 487687222.

It is an interprime number because it is at equal distance from previous prime (22278678397) and next prime (22278678403).

It is a super-2 number, since 2×22278678400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22278678403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62057421 + ... + 62057779.

It is an arithmetic number, because the mean of its divisors is an integer number (164344950).

Almost surely, 2^22278678400 is an apocalyptic number.

22278678400 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 22278678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31554230400).

22278678400 is an abundant number, since it is smaller than the sum of its proper divisors (40829782400).

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

22278678400 is a wasteful number, since it uses less digits than its factorization.

22278678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 46.

The spelling of 22278678400 in words is "twenty-two billion, two hundred seventy-eight million, six hundred seventy-eight thousand, four hundred".