29292342768 has 240 divisors, whose sum is σ = 92343732480. Its totient is φ = 8884512000.

The previous prime is 29292342721. The next prime is 29292342803. The reversal of 29292342768 is 86724329292.

29292342768 is a `hidden beast` number, since 2 + 9 + 292 + 342 + 7 + 6 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5180743 + ... + 5186393.

It is an arithmetic number, because the mean of its divisors is an integer number (384765552).

Almost surely, 2^29292342768 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 29292342768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46171866240).

29292342768 is an abundant number, since it is smaller than the sum of its proper divisors (63051389712).

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

29292342768 is a wasteful number, since it uses less digits than its factorization.

29292342768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5765 (or 5740 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 29292342768 in words is "twenty-nine billion, two hundred ninety-two million, three hundred forty-two thousand, seven hundred sixty-eight".