7380609933312 has 1344 divisors, whose sum is σ = 27822895027200. Its totient is φ = 1899245076480.

The previous prime is 7380609933293. The next prime is 7380609933317. The reversal of 7380609933312 is 2133399060837.

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 (54).

It is not an unprimeable number, because it can be changed into a prime (7380609933317) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27437211514 + ... + 27437211782.

It is an arithmetic number, because the mean of its divisors is an integer number (20701558800).

Almost surely, 2^{7380609933312} is an apocalyptic number.

7380609933312 is a gapful number since it is divisible by the number (72) 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 7380609933312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13911447513600).

7380609933312 is an abundant number, since it is smaller than the sum of its proper divisors (20442285093888).

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

7380609933312 is a wasteful number, since it uses less digits than its factorization.

7380609933312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 7380609933312 in words is "seven trillion, three hundred eighty billion, six hundred nine million, nine hundred thirty-three thousand, three hundred twelve".