29800641024 has 480 divisors, whose sum is σ = 109571844096. Its totient is φ = 7571496960.

The previous prime is 29800640983. The next prime is 29800641037. The reversal of 29800641024 is 42014600892.

29800641024 is a `hidden beast` number, since 2 + 9 + 8 + 0 + 0 + 641 + 0 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 29800641024.

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, 16675459 + ... + 16677245.

Almost surely, 2^29800641024 is an apocalyptic number.

29800641024 is a gapful number since it is divisible by the number (24) 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 29800641024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54785922048).

29800641024 is an abundant number, since it is smaller than the sum of its proper divisors (79771203072).

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

29800641024 is a wasteful number, since it uses less digits than its factorization.

29800641024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 29800641024 in words is "twenty-nine billion, eight hundred million, six hundred forty-one thousand, twenty-four".