30774230093376 has 672 divisors, whose sum is σ = 115833492203520. Its totient is φ = 7567976448000.

The previous prime is 30774230093291. The next prime is 30774230093381. The reversal of 30774230093376 is 67339003247703.

It is a happy number.

30774230093376 is a `hidden beast` number, since 3 + 0 + 7 + 74 + 230 + 0 + 9 + 337 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1497446301 + ... + 1497466851.

It is an arithmetic number, because the mean of its divisors is an integer number (172371268160).

Almost surely, 2^{30774230093376} is an apocalyptic number.

30774230093376 is a gapful number since it is divisible by the number (36) 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 30774230093376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57916746101760).

30774230093376 is an abundant number, since it is smaller than the sum of its proper divisors (85059262110144).

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

30774230093376 is a wasteful number, since it uses less digits than its factorization.

30774230093376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22383 (or 22370 counting only the distinct ones).

The product of its (nonzero) digits is 12002256, while the sum is 54.

The spelling of 30774230093376 in words is "thirty trillion, seven hundred seventy-four billion, two hundred thirty million, ninety-three thousand, three hundred seventy-six".