30864508740 has 144 divisors (see below), whose sum is σ = 100968311808. Its totient is φ = 7586548992.

The previous prime is 30864508709. The next prime is 30864508867. The reversal of 30864508740 is 4780546803.

30864508740 is a `hidden beast` number, since 3 + 0 + 86 + 450 + 87 + 40 = 666.

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

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, 1692109 + ... + 1710251.

It is an arithmetic number, because the mean of its divisors is an integer number (701168832).

Almost surely, 2^30864508740 is an apocalyptic number.

30864508740 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 30864508740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50484155904).

30864508740 is an abundant number, since it is smaller than the sum of its proper divisors (70103803068).

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

30864508740 is a wasteful number, since it uses less digits than its factorization.

30864508740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18898 (or 18893 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 30864508740 in words is "thirty billion, eight hundred sixty-four million, five hundred eight thousand, seven hundred forty".