8426786400 has 180 divisors, whose sum is σ = 30731087772. Its totient is φ = 2247125760.

The previous prime is 8426786399. The next prime is 8426786413. The reversal of 8426786400 is 46876248.

It is a tau number, because it is divible by the number of its divisors (180).

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 polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 222 + ... + 129821.

Almost surely, 2^8426786400 is an apocalyptic number.

8426786400 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 8426786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15365543886).

8426786400 is an abundant number, since it is smaller than the sum of its proper divisors (22304301372).

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

8426786400 is a wasteful number, since it uses less digits than its factorization.

8426786400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130075 (or 130053 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 8426786400 is about 91797.5293785187. The cubic root of 8426786400 is about 2034.9511827580.

The spelling of 8426786400 in words is "eight billion, four hundred twenty-six million, seven hundred eighty-six thousand, four hundred".