22779662400 has 1260 divisors, whose sum is σ = 99581848080. Its totient is φ = 5051289600.

The previous prime is 22779662383. The next prime is 22779662401. The reversal of 22779662400 is 426697722.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (22779662401) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 785505586 + ... + 785505614.

Almost surely, 2^22779662400 is an apocalyptic number.

22779662400 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 22779662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49790924040).

22779662400 is an abundant number, since it is smaller than the sum of its proper divisors (76802185680).

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

22779662400 is a wasteful number, since it uses less digits than its factorization.

22779662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 22779662400 in words is "twenty-two billion, seven hundred seventy-nine million, six hundred sixty-two thousand, four hundred".