30740945760 has 432 divisors, whose sum is σ = 122723258112. Its totient is φ = 6986649600.

The previous prime is 30740945743. The next prime is 30740945771. The reversal of 30740945760 is 6754904703.

30740945760 is a `hidden beast` number, since 3 + 0 + 74 + 0 + 9 + 4 + 576 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 13475820 + ... + 13478100.

It is an arithmetic number, because the mean of its divisors is an integer number (284081616).

Almost surely, 2^30740945760 is an apocalyptic number.

30740945760 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 30740945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61361629056).

30740945760 is an abundant number, since it is smaller than the sum of its proper divisors (91982312352).

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

30740945760 is a wasteful number, since it uses less digits than its factorization.

30740945760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 30740945760 in words is "thirty billion, seven hundred forty million, nine hundred forty-five thousand, seven hundred sixty".