7129312339968 has 960 divisors, whose sum is σ = 26355450401280. Its totient is φ = 1869751517184.

The previous prime is 7129312339967. The next prime is 7129312339973. The reversal of 7129312339968 is 8699332139217.

7129312339968 is a `hidden beast` number, since 7 + 1 + 293 + 1 + 2 + 339 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×7129312339968² (a number of 27 digits) contains 22 as substring.

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 (7129312339967) 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 79 ways as a sum of consecutive naturals, for example, 2913489721 + ... + 2913492167.

It is an arithmetic number, because the mean of its divisors is an integer number (27453594168).

Almost surely, 2^{7129312339968} is an apocalyptic number.

7129312339968 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 7129312339968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13177725200640).

7129312339968 is an abundant number, since it is smaller than the sum of its proper divisors (19226138061312).

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

7129312339968 is a wasteful number, since it uses less digits than its factorization.

7129312339968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2665 counting only the distinct ones).

The product of its digits is 26453952, while the sum is 63.

The spelling of 7129312339968 in words is "seven trillion, one hundred twenty-nine billion, three hundred twelve million, three hundred thirty-nine thousand, nine hundred sixty-eight".