30064671456 has 96 divisors (see below), whose sum is σ = 82582543008. Its totient is φ = 9566668800.

The previous prime is 30064671389. The next prime is 30064671541. The reversal of 30064671456 is 65417646003.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108406 + ... + 268106.

It is an arithmetic number, because the mean of its divisors is an integer number (860234823).

Almost surely, 2^30064671456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30064671456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41291271504).

30064671456 is an abundant number, since it is smaller than the sum of its proper divisors (52517871552).

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

30064671456 is a wasteful number, since it uses less digits than its factorization.

30064671456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159804 (or 159796 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

It can be divided in two parts, 30064 and 671456, that added together give a triangular number (701520 = T₁₁₈₄).

The spelling of 30064671456 in words is "thirty billion, sixty-four million, six hundred seventy-one thousand, four hundred fifty-six".