4729446931968 has 480 divisors, whose sum is σ = 16350288514560. Its totient is φ = 1348855234560.

The previous prime is 4729446931943. The next prime is 4729446931991. The reversal of 4729446931968 is 8691396449274.

It is a happy number.

4729446931968 is a `hidden beast` number, since 4 + 7 + 2 + 9 + 446 + 93 + 1 + 96 + 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 = 4729446931896 and 4729446931905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23164153 + ... + 23367431.

It is an arithmetic number, because the mean of its divisors is an integer number (34063101072).

Almost surely, 2^{4729446931968} is an apocalyptic number.

4729446931968 is a gapful number since it is divisible by the number (48) 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 4729446931968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8175144257280).

4729446931968 is an abundant number, since it is smaller than the sum of its proper divisors (11620841582592).

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

4729446931968 is a wasteful number, since it uses less digits than its factorization.

4729446931968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203340 (or 203312 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

The spelling of 4729446931968 in words is "four trillion, seven hundred twenty-nine billion, four hundred forty-six million, nine hundred thirty-one thousand, nine hundred sixty-eight".