29197808640 has 1408 divisors, whose sum is σ = 139979427840. Its totient is φ = 5573836800.

The previous prime is 29197808639. The next prime is 29197808657. The reversal of 29197808640 is 4680879192.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138378135 + ... + 138378345.

Almost surely, 2^29197808640 is an apocalyptic number.

29197808640 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 29197808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69989713920).

29197808640 is an abundant number, since it is smaller than the sum of its proper divisors (110781619200).

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

29197808640 is a wasteful number, since it uses less digits than its factorization.

29197808640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 29197808640 in words is "twenty-nine billion, one hundred ninety-seven million, eight hundred eight thousand, six hundred forty".