7328033157312 has 1680 divisors, whose sum is σ = 28209496946400. Its totient is φ = 1866956636160.

The previous prime is 7328033157307. The next prime is 7328033157349. The reversal of 7328033157312 is 2137513308237.

7328033157312 is a `hidden beast` number, since 7 + 3 + 280 + 3 + 3 + 1 + 57 + 312 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5738474818 + ... + 5738476094.

It is an arithmetic number, because the mean of its divisors is an integer number (16791367230).

Almost surely, 2^{7328033157312} is an apocalyptic number.

7328033157312 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 7328033157312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14104748473200).

7328033157312 is an abundant number, since it is smaller than the sum of its proper divisors (20881463789088).

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

7328033157312 is a wasteful number, since it uses less digits than its factorization.

7328033157312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 7328033157312 in words is "seven trillion, three hundred twenty-eight billion, thirty-three million, one hundred fifty-seven thousand, three hundred twelve".