30774490306560 has 6144 divisors, whose sum is σ = 161295689318400. Its totient is φ = 5350883328000.

The previous prime is 30774490306531. The next prime is 30774490306589. The reversal of 30774490306560 is 6560309447703.

It is a happy number.

30774490306560 is a `hidden beast` number, since 3 + 0 + 7 + 7 + 4 + 49 + 0 + 30 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (30774490306531) and next prime (30774490306589).

It is a tau number, because it is divible by the number of its divisors (6144).

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

It is a junction number, because it is equal to n+sod(n) for n = 30774490306497 and 30774490306506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 145850664855 + ... + 145850665065.

It is an arithmetic number, because the mean of its divisors is an integer number (26252553600).

Almost surely, 2^{30774490306560} is an apocalyptic number.

30774490306560 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 30774490306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80647844659200).

30774490306560 is an abundant number, since it is smaller than the sum of its proper divisors (130521199011840).

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

30774490306560 is a wasteful number, since it uses less digits than its factorization.

30774490306560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 30774490306560 in words is "thirty trillion, seven hundred seventy-four billion, four hundred ninety million, three hundred six thousand, five hundred sixty".