9927674400 has 864 divisors, whose sum is σ = 40396164480. Its totient is φ = 2107392000.

The previous prime is 9927674333. The next prime is 9927674411. The reversal of 9927674400 is 44767299.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9927674400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 139826365 + ... + 139826435.

It is an arithmetic number, because the mean of its divisors is an integer number (46754820).

Almost surely, 2^9927674400 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 9927674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20198082240).

9927674400 is an abundant number, since it is smaller than the sum of its proper divisors (30468490080).

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

9927674400 is a wasteful number, since it uses less digits than its factorization.

9927674400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 158 counting only the distinct ones).

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

The square root of 9927674400 is about 99637.7157506132. The cubic root of 9927674400 is about 2149.2280913844.

The spelling of 9927674400 in words is "nine billion, nine hundred twenty-seven million, six hundred seventy-four thousand, four hundred".