7291427891328 has 768 divisors, whose sum is σ = 25532230563840. Its totient is φ = 2027901173760.

The previous prime is 7291427891317. The next prime is 7291427891329. The reversal of 7291427891328 is 8231987241927.

7291427891328 is a `hidden beast` number, since 7 + 2 + 91 + 427 + 8 + 91 + 32 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (7291427891329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3155095293 + ... + 3155097603.

It is an arithmetic number, because the mean of its divisors is an integer number (33245091880).

Almost surely, 2^{7291427891328} 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 7291427891328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12766115281920).

7291427891328 is an abundant number, since it is smaller than the sum of its proper divisors (18240802672512).

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

7291427891328 is a wasteful number, since it uses less digits than its factorization.

7291427891328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727 (or 2703 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 7291427891328 in words is "seven trillion, two hundred ninety-one billion, four hundred twenty-seven million, eight hundred ninety-one thousand, three hundred twenty-eight".