8425368000 has 672 divisors, whose sum is σ = 35068824960. Its totient is φ = 1891123200.

The previous prime is 8425367983. The next prime is 8425368043. The reversal of 8425368000 is 8635248.

8425368000 is a `hidden beast` number, since 8 + 42 + 536 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 36791886 + ... + 36792114.

Almost surely, 2^8425368000 is an apocalyptic number.

8425368000 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 8425368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17534412480).

8425368000 is an abundant number, since it is smaller than the sum of its proper divisors (26643456960).

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

8425368000 is a wasteful number, since it uses less digits than its factorization.

8425368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8425368000 is about 91789.8033552747. The cubic root of 8425368000 is about 2034.8370017571.

The spelling of 8425368000 in words is "eight billion, four hundred twenty-five million, three hundred sixty-eight thousand".