8676266400 has 720 divisors, whose sum is σ = 34596223200. Its totient is φ = 2116316160.

The previous prime is 8676266399. The next prime is 8676266441. The reversal of 8676266400 is 46626768.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 299181586 + ... + 299181614.

It is an arithmetic number, because the mean of its divisors is an integer number (48050310).

Almost surely, 2^8676266400 is an apocalyptic number.

8676266400 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 8676266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17298111600).

8676266400 is an abundant number, since it is smaller than the sum of its proper divisors (25919956800).

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

8676266400 is an equidigital number, since it uses as much as digits as its factorization.

8676266400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 8676266400 is about 93146.4781942935. The cubic root of 8676266400 is about 2054.8381778911.

The spelling of 8676266400 in words is "eight billion, six hundred seventy-six million, two hundred sixty-six thousand, four hundred".