29818493640 has 192 divisors, whose sum is σ = 104613949440. Its totient is φ = 7322411520.

The previous prime is 29818493609. The next prime is 29818493669. The reversal of 29818493640 is 4639481892.

29818493640 is a `hidden beast` number, since 2 + 98 + 1 + 8 + 493 + 64 + 0 = 666.

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, 2009689 + ... + 2024471.

It is an arithmetic number, because the mean of its divisors is an integer number (544864320).

Almost surely, 2^29818493640 is an apocalyptic number.

29818493640 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 29818493640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52306974720).

29818493640 is an abundant number, since it is smaller than the sum of its proper divisors (74795455800).

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

29818493640 is a wasteful number, since it uses less digits than its factorization.

29818493640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15244 (or 15237 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 29818493640 in words is "twenty-nine billion, eight hundred eighteen million, four hundred ninety-three thousand, six hundred forty".