29495028640 has 288 divisors, whose sum is σ = 89157003264. Its totient is φ = 9117480960.

The previous prime is 29495028559. The next prime is 29495028643. The reversal of 29495028640 is 4682059492.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (29495028643) 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 47 ways as a sum of consecutive naturals, for example, 10951134 + ... + 10953826.

It is an arithmetic number, because the mean of its divisors is an integer number (309572928).

Almost surely, 2^29495028640 is an apocalyptic number.

29495028640 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 29495028640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44578501632).

29495028640 is an abundant number, since it is smaller than the sum of its proper divisors (59661974624).

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

29495028640 is a wasteful number, since it uses less digits than its factorization.

29495028640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 29495028640 in words is "twenty-nine billion, four hundred ninety-five million, twenty-eight thousand, six hundred forty".