30072951664608 has 96 divisors (see below), whose sum is σ = 79681912240896. Its totient is φ = 9930389547008.

The previous prime is 30072951664607. The next prime is 30072951664643. The reversal of 30072951664608 is 80646615927003.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30072951664607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19960285 + ... + 21413987.

It is an arithmetic number, because the mean of its divisors is an integer number (830019919176).

It is a 1-persistent number, because it is pandigital, but 2⋅30072951664608 = 60145903329216 is not.

Almost surely, 2^{30072951664608} 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 30072951664608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39840956120448).

30072951664608 is an abundant number, since it is smaller than the sum of its proper divisors (49608960576288).

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

30072951664608 is a wasteful number, since it uses less digits than its factorization.

30072951664608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455736 (or 1455728 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 30072951664608 in words is "thirty trillion, seventy-two billion, nine hundred fifty-one million, six hundred sixty-four thousand, six hundred eight".