30724148160 has 336 divisors, whose sum is σ = 109725512832. Its totient is φ = 7887329280.

The previous prime is 30724148159. The next prime is 30724148173. The reversal of 30724148160 is 6184142703.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503674530 + ... + 503674590.

Almost surely, 2^30724148160 is an apocalyptic number.

30724148160 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 30724148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54862756416).

30724148160 is an abundant number, since it is smaller than the sum of its proper divisors (79001364672).

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

30724148160 is an frugal number, since it uses more digits than its factorization.

30724148160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 30724148160 in words is "thirty billion, seven hundred twenty-four million, one hundred forty-eight thousand, one hundred sixty".