29666797920 has 216 divisors, whose sum is σ = 107544934224. Its totient is φ = 7445680128.

The previous prime is 29666797891. The next prime is 29666797921. The reversal of 29666797920 is 2979766692.

It is a super-2 number, since 2×29666797920² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29666797921) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 380517 + ... + 451803.

It is an arithmetic number, because the mean of its divisors is an integer number (497893214).

Almost surely, 2^29666797920 is an apocalyptic number.

29666797920 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 29666797920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53772467112).

29666797920 is an abundant number, since it is smaller than the sum of its proper divisors (77878136304).

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

29666797920 is a wasteful number, since it uses less digits than its factorization.

29666797920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71342 (or 71314 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 29666797920 in words is "twenty-nine billion, six hundred sixty-six million, seven hundred ninety-seven thousand, nine hundred twenty".