29640221091936 has 960 divisors, whose sum is σ = 113009889484800. Its totient is φ = 7564941941760.

The previous prime is 29640221091917. The next prime is 29640221091989. The reversal of 29640221091936 is 63919012204692.

29640221091936 is a `hidden beast` number, since 2 + 9 + 6 + 402 + 210 + 9 + 19 + 3 + 6 = 666.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 358248205 + ... + 358330931.

It is an arithmetic number, because the mean of its divisors is an integer number (117718634880).

Almost surely, 2^{29640221091936} is an apocalyptic number.

29640221091936 is a gapful number since it is divisible by the number (26) 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 29640221091936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56504944742400).

29640221091936 is an abundant number, since it is smaller than the sum of its proper divisors (83369668392864).

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

29640221091936 is a wasteful number, since it uses less digits than its factorization.

29640221091936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82814 (or 82783 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 29640221091936 in words is "twenty-nine trillion, six hundred forty billion, two hundred twenty-one million, ninety-one thousand, nine hundred thirty-six".