30664220522400 has 144 divisors (see below), whose sum is σ = 110902264300800. Its totient is φ = 8177125466880.

The previous prime is 30664220522389. The next prime is 30664220522423. The reversal of 30664220522400 is 422502246603.

30664220522400 is a `hidden beast` number, since 3 + 0 + 6 + 6 + 4 + 220 + 5 + 22 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×30664220522400⁴ (a number of 55 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709798320 + ... + 709841519.

It is an arithmetic number, because the mean of its divisors is an integer number (770154613200).

Almost surely, 2^{30664220522400} is an apocalyptic number.

30664220522400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30664220522400 is an abundant number, since it is smaller than the sum of its proper divisors (80238043778400).

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

30664220522400 is a wasteful number, since it uses less digits than its factorization.

30664220522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419639868 (or 1419639849 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 30664220522400 in words is "thirty trillion, six hundred sixty-four billion, two hundred twenty million, five hundred twenty-two thousand, four hundred".