29268068640 has 192 divisors, whose sum is σ = 94187318400. Its totient is φ = 7637336064.

The previous prime is 29268068587. The next prime is 29268068651. The reversal of 29268068640 is 4686086292.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6483024 + ... + 6487536.

It is an arithmetic number, because the mean of its divisors is an integer number (490558950).

Almost surely, 2^29268068640 is an apocalyptic number.

29268068640 is a gapful number since it is divisible by the number (20) 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 29268068640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47093659200).

29268068640 is an abundant number, since it is smaller than the sum of its proper divisors (64919249760).

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

29268068640 is a wasteful number, since it uses less digits than its factorization.

29268068640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4819 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 29268068640 in words is "twenty-nine billion, two hundred sixty-eight million, sixty-eight thousand, six hundred forty".