30064269312 has 768 divisors, whose sum is σ = 116237721600. Its totient is φ = 7445053440.

The previous prime is 30064269233. The next prime is 30064269349. The reversal of 30064269312 is 21396246003.

30064269312 is a `hidden beast` number, since 3 + 0 + 0 + 642 + 6 + 9 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97929063 + ... + 97929369.

It is an arithmetic number, because the mean of its divisors is an integer number (151351200).

Almost surely, 2^30064269312 is an apocalyptic number.

30064269312 is a gapful number since it is divisible by the number (32) 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 30064269312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58118860800).

30064269312 is an abundant number, since it is smaller than the sum of its proper divisors (86173452288).

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

30064269312 is a wasteful number, since it uses less digits than its factorization.

30064269312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 30064269312 in words is "thirty billion, sixty-four million, two hundred sixty-nine thousand, three hundred twelve".