29714065920 has 800 divisors, whose sum is σ = 132758752896. Its totient is φ = 6171033600.

The previous prime is 29714065919. The next prime is 29714065951. The reversal of 29714065920 is 2956041792.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15965790 + ... + 15967650.

Almost surely, 2^29714065920 is an apocalyptic number.

29714065920 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 29714065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66379376448).

29714065920 is an abundant number, since it is smaller than the sum of its proper divisors (103044686976).

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

29714065920 is a wasteful number, since it uses less digits than its factorization.

29714065920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 29714065920 in words is "twenty-nine billion, seven hundred fourteen million, sixty-five thousand, nine hundred twenty".