22732669440 has 560 divisors, whose sum is σ = 88100408088. Its totient is φ = 5589762048.

The previous prime is 22732669429. The next prime is 22732669457. The reversal of 22732669440 is 4496623722.

22732669440 is a `hidden beast` number, since 227 + 326 + 69 + 4 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7996651776 + 14736017664 = 89424^2 + 121392^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24260652 + ... + 24261588.

Almost surely, 2^22732669440 is an apocalyptic number.

22732669440 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 22732669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44050204044).

22732669440 is an abundant number, since it is smaller than the sum of its proper divisors (65367738648).

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

22732669440 is an frugal number, since it uses more digits than its factorization.

22732669440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 22732669440 in words is "twenty-two billion, seven hundred thirty-two million, six hundred sixty-nine thousand, four hundred forty".