29699974080 has 1008 divisors, whose sum is σ = 127664687520. Its totient is φ = 6479585280.

The previous prime is 29699973977. The next prime is 29699974091. The reversal of 29699974080 is 8047999692.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 29699973999 and 29699974017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 406848924 + ... + 406848996.

Almost surely, 2^29699974080 is an apocalyptic number.

29699974080 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 29699974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63832343760).

29699974080 is an abundant number, since it is smaller than the sum of its proper divisors (97964713440).

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

29699974080 is a wasteful number, since it uses less digits than its factorization.

29699974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 29699974080 in words is "twenty-nine billion, six hundred ninety-nine million, nine hundred seventy-four thousand, eighty".