30740772960 has 288 divisors, whose sum is σ = 106702596000. Its totient is φ = 8058175488.

The previous prime is 30740772911. The next prime is 30740773003. The reversal of 30740772960 is 6927704703.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21816736 + ... + 21818144.

It is an arithmetic number, because the mean of its divisors is an integer number (370495125).

Almost surely, 2^30740772960 is an apocalyptic number.

30740772960 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 30740772960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53351298000).

30740772960 is an abundant number, since it is smaller than the sum of its proper divisors (75961823040).

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

30740772960 is a wasteful number, since it uses less digits than its factorization.

30740772960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 30740772960 in words is "thirty billion, seven hundred forty million, seven hundred seventy-two thousand, nine hundred sixty".