9929401600 has 216 divisors, whose sum is σ = 25446855672. Its totient is φ = 3833856000.

The previous prime is 9929401597. The next prime is 9929401621. The reversal of 9929401600 is 61049299.

It can be written as a sum of positive squares in 12 ways, for example, as 18800896 + 9910600704 = 4336^2 + 99552^2 .

It is a super-2 number, since 2×9929401600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24761400 + ... + 24761800.

It is an arithmetic number, because the mean of its divisors is an integer number (117809517).

Almost surely, 2^9929401600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9929401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12723427836).

9929401600 is an abundant number, since it is smaller than the sum of its proper divisors (15517454072).

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

9929401600 is a wasteful number, since it uses less digits than its factorization.

9929401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The square root of 9929401600 is about 99646.3827742884. The cubic root of 9929401600 is about 2149.3527238462.

The spelling of 9929401600 in words is "nine billion, nine hundred twenty-nine million, four hundred one thousand, six hundred".