30744498879360 has 2048 divisors, whose sum is σ = 136147184640000. Its totient is φ = 6612186857472.

The previous prime is 30744498879313. The next prime is 30744498879371. The reversal of 30744498879360 is 6397889444703.

It is a happy number.

30744498879360 is a `hidden beast` number, since 3 + 0 + 7 + 4 + 4 + 498 + 8 + 79 + 3 + 60 = 666.

It is a super-2 number, since 2×30744498879360² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8161532197 + ... + 8161535963.

It is an arithmetic number, because the mean of its divisors is an integer number (66478117500).

Almost surely, 2^{30744498879360} is an apocalyptic number.

30744498879360 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 30744498879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68073592320000).

30744498879360 is an abundant number, since it is smaller than the sum of its proper divisors (105402685760640).

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

30744498879360 is an frugal number, since it uses more digits than its factorization.

30744498879360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3845 (or 3801 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 30744498879360 in words is "thirty trillion, seven hundred forty-four billion, four hundred ninety-eight million, eight hundred seventy-nine thousand, three hundred sixty".