8426149200 has 480 divisors, whose sum is σ = 34496363520. Its totient is φ = 1913587200.

The previous prime is 8426149177. The next prime is 8426149211. The reversal of 8426149200 is 29416248.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17160955 + ... + 17161445.

It is an arithmetic number, because the mean of its divisors is an integer number (71867424).

Almost surely, 2^8426149200 is an apocalyptic number.

8426149200 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 8426149200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17248181760).

8426149200 is an abundant number, since it is smaller than the sum of its proper divisors (26070214320).

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

8426149200 is a wasteful number, since it uses less digits than its factorization.

8426149200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8426149200 is about 91794.0586312644. The cubic root of 8426149200 is about 2034.8998898326.

The spelling of 8426149200 in words is "eight billion, four hundred twenty-six million, one hundred forty-nine thousand, two hundred".