29620668906900 has 432 divisors, whose sum is σ = 96400367481600. Its totient is φ = 7598376576000.

The previous prime is 29620668906883. The next prime is 29620668906937. The reversal of 29620668906900 is 960986602692.

29620668906900 is a `hidden beast` number, since 296 + 206 + 6 + 89 + 0 + 69 + 0 + 0 = 666.

It is a super-2 number, since 2×29620668906900² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11485329811 + ... + 11485332389.

It is an arithmetic number, because the mean of its divisors is an integer number (223148998800).

Almost surely, 2^{29620668906900} is an apocalyptic number.

29620668906900 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 29620668906900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48200183740800).

29620668906900 is an abundant number, since it is smaller than the sum of its proper divisors (66779698574700).

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

29620668906900 is a wasteful number, since it uses less digits than its factorization.

29620668906900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4080 (or 4070 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 29620668906900 in words is "twenty-nine trillion, six hundred twenty billion, six hundred sixty-eight million, nine hundred six thousand, nine hundred".