9964277400 has 432 divisors, whose sum is σ = 39510049320. Its totient is φ = 2069760000.

The previous prime is 9964277357. The next prime is 9964277443. The reversal of 9964277400 is 47724699.

9964277400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9964277357) and next prime (9964277443).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9964277400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3556000 + ... + 3558800.

Almost surely, 2^9964277400 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 9964277400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19755024660).

9964277400 is an abundant number, since it is smaller than the sum of its proper divisors (29545771920).

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

9964277400 is a wasteful number, since it uses less digits than its factorization.

9964277400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 9964277400 is about 99821.2272014325. The cubic root of 9964277400 is about 2151.8662289074.

The spelling of 9964277400 in words is "nine billion, nine hundred sixty-four million, two hundred seventy-seven thousand, four hundred".