22672072710400 has 243 divisors, whose sum is σ = 57246686400099. Its totient is φ = 8889795932160.

The previous prime is 22672072710389. The next prime is 22672072710433. The reversal of 22672072710400 is 401727027622.

The square root of 22672072710400 is 4761520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 170787133696 + 22501285576704 = 413264^2 + 4743552^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20188844239 + ... + 20188845361.

Almost surely, 2^{22672072710400} is an apocalyptic number.

22672072710400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22672072710400 is the 4761520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22672072710400

22672072710400 is an abundant number, since it is smaller than the sum of its proper divisors (34574613689699).

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

22672072710400 is an frugal number, since it uses more digits than its factorization.

22672072710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 40.

The spelling of 22672072710400 in words is "twenty-two trillion, six hundred seventy-two billion, seventy-two million, seven hundred ten thousand, four hundred".