30017070720 has 1344 divisors, whose sum is σ = 136117716840. Its totient is φ = 6270566400.

The previous prime is 30017070661. The next prime is 30017070767. The reversal of 30017070720 is 2707071003.

It can be written as a sum of positive squares in 4 ways, for example, as 26174062656 + 3843008064 = 161784^2 + 61992^2 .

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 297198670 + ... + 297198770.

Almost surely, 2^30017070720 is an apocalyptic number.

30017070720 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 30017070720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68058858420).

30017070720 is an abundant number, since it is smaller than the sum of its proper divisors (106100646120).

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

30017070720 is a wasteful number, since it uses less digits than its factorization.

30017070720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The spelling of 30017070720 in words is "thirty billion, seventeen million, seventy thousand, seven hundred twenty".