9671270400 has 840 divisors, whose sum is σ = 39821306184. Its totient is φ = 2300313600.

The previous prime is 9671270341. The next prime is 9671270449. The reversal of 9671270400 is 40721769.

It is a happy number.

It is a super-2 number, since 2×9671270400² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 182476774 + ... + 182476826.

Almost surely, 2^9671270400 is an apocalyptic number.

9671270400 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 9671270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19910653092).

9671270400 is an abundant number, since it is smaller than the sum of its proper divisors (30150035784).

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

9671270400 is a wasteful number, since it uses less digits than its factorization.

9671270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 9671270400 is about 98342.6174148319. The cubic root of 9671270400 is about 2130.5636278714.

The spelling of 9671270400 in words is "nine billion, six hundred seventy-one million, two hundred seventy thousand, four hundred".