30336468364800 has 2160 divisors, whose sum is σ = 124855026808512. Its totient is φ = 7255941120000.

The previous prime is 30336468364777. The next prime is 30336468364801. The reversal of 30336468364800 is 846386463303.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×30336468364800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30336468364801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 40394764425 + ... + 40394765175.

Almost surely, 2^{30336468364800} is an apocalyptic number.

30336468364800 is a gapful number since it is divisible by the number (30) 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 30336468364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62427513404256).

30336468364800 is an abundant number, since it is smaller than the sum of its proper divisors (94518558443712).

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

30336468364800 is an frugal number, since it uses more digits than its factorization.

30336468364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 54.

The spelling of 30336468364800 in words is "thirty trillion, three hundred thirty-six billion, four hundred sixty-eight million, three hundred sixty-four thousand, eight hundred".