29670423120 has 400 divisors, whose sum is σ = 113571397632. Its totient is φ = 7132769280.

The previous prime is 29670423089. The next prime is 29670423121. The reversal of 29670423120 is 2132407692.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29670423121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3618225 + ... + 3626415.

Almost surely, 2^29670423120 is an apocalyptic number.

29670423120 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 29670423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56785698816).

29670423120 is an abundant number, since it is smaller than the sum of its proper divisors (83900974512).

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

29670423120 is a wasteful number, since it uses less digits than its factorization.

29670423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8272 (or 8257 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 29670423120 in words is "twenty-nine billion, six hundred seventy million, four hundred twenty-three thousand, one hundred twenty".