29640226560 has 288 divisors, whose sum is σ = 108978885120. Its totient is φ = 6725320704.

The previous prime is 29640226543. The next prime is 29640226601. The reversal of 29640226560 is 6562204692.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3732354 + ... + 3740286.

Almost surely, 2^29640226560 is an apocalyptic number.

29640226560 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 29640226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54489442560).

29640226560 is an abundant number, since it is smaller than the sum of its proper divisors (79338658560).

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

29640226560 is a wasteful number, since it uses less digits than its factorization.

29640226560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8103 (or 8089 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 29640226560 in words is "twenty-nine billion, six hundred forty million, two hundred twenty-six thousand, five hundred sixty".