8677670400 has 960 divisors, whose sum is σ = 38725378560. Its totient is φ = 1857945600.

The previous prime is 8677670389. The next prime is 8677670413. The reversal of 8677670400 is 40767768.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41126295 + ... + 41126505.

It is an arithmetic number, because the mean of its divisors is an integer number (40338936).

Almost surely, 2^8677670400 is an apocalyptic number.

8677670400 is a gapful number since it is divisible by the number (80) 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 8677670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19362689280).

8677670400 is an abundant number, since it is smaller than the sum of its proper divisors (30047708160).

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

8677670400 is a wasteful number, since it uses less digits than its factorization.

8677670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 8677670400 is about 93154.0144062509. The cubic root of 8677670400 is about 2054.9490104030.

The spelling of 8677670400 in words is "eight billion, six hundred seventy-seven million, six hundred seventy thousand, four hundred".