9691729920 has 416 divisors, whose sum is σ = 36517443840. Its totient is φ = 2430074880.

The previous prime is 9691729913. The next prime is 9691729921. The reversal of 9691729920 is 299271969.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9691729921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9399805 + ... + 9400835.

Almost surely, 2^9691729920 is an apocalyptic number.

9691729920 is a gapful number since it is divisible by the number (90) 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 9691729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18258721920).

9691729920 is an abundant number, since it is smaller than the sum of its proper divisors (26825713920).

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

9691729920 is a wasteful number, since it uses less digits than its factorization.

9691729920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The square root of 9691729920 is about 98446.5840951325. The cubic root of 9691729920 is about 2132.0649682701.

The spelling of 9691729920 in words is "nine billion, six hundred ninety-one million, seven hundred twenty-nine thousand, nine hundred twenty".