30384209264640 has 960 divisors, whose sum is σ = 123695058009600. Its totient is φ = 6313601925120.

The previous prime is 30384209264561. The next prime is 30384209264641. The reversal of 30384209264640 is 4646290248303.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30384209264641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2762200842235 + ... + 2762200842245.

It is an arithmetic number, because the mean of its divisors is an integer number (128849018760).

Almost surely, 2^{30384209264640} is an apocalyptic number.

30384209264640 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 30384209264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61847529004800).

30384209264640 is an abundant number, since it is smaller than the sum of its proper divisors (93310848744960).

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

30384209264640 is an frugal number, since it uses more digits than its factorization.

30384209264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 51.

The spelling of 30384209264640 in words is "thirty trillion, three hundred eighty-four billion, two hundred nine million, two hundred sixty-four thousand, six hundred forty".