7334959027968 has 1008 divisors, whose sum is σ = 25942633758720. Its totient is φ = 2039576371200.

The previous prime is 7334959027961. The next prime is 7334959027997. The reversal of 7334959027968 is 8697209594337.

7334959027968 is a `hidden beast` number, since 7 + 3 + 3 + 4 + 9 + 590 + 27 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 7334959027896 and 7334959027905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7334959027961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5097260593 + ... + 5097262031.

It is an arithmetic number, because the mean of its divisors is an integer number (25736739840).

Almost surely, 2^{7334959027968} is an apocalyptic number.

7334959027968 is a gapful number since it is divisible by the number (78) 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 7334959027968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12971316879360).

7334959027968 is an abundant number, since it is smaller than the sum of its proper divisors (18607674730752).

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

7334959027968 is a wasteful number, since it uses less digits than its factorization.

7334959027968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 7334959027968 in words is "seven trillion, three hundred thirty-four billion, nine hundred fifty-nine million, twenty-seven thousand, nine hundred sixty-eight".