68429629440 has 960 divisors, whose sum is σ = 272276484480. Its totient is φ = 16349921280.

The previous prime is 68429629403. The next prime is 68429629469. The reversal of 68429629440 is 4492692486.

68429629440 is a `hidden beast` number, since 6 + 8 + 4 + 2 + 9 + 629 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×68429629440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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, 324310935 + ... + 324311145.

It is an arithmetic number, because the mean of its divisors is an integer number (283621338).

Almost surely, 2^68429629440 is an apocalyptic number.

68429629440 is a gapful number since it is divisible by the number (60) 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 68429629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136138242240).

68429629440 is an abundant number, since it is smaller than the sum of its proper divisors (203846855040).

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

68429629440 is a wasteful number, since it uses less digits than its factorization.

68429629440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 68429629440 in words is "sixty-eight billion, four hundred twenty-nine million, six hundred twenty-nine thousand, four hundred forty".