8034642000 has 1440 divisors, whose sum is σ = 38529533952. Its totient is φ = 1520640000.

The previous prime is 8034641987. The next prime is 8034642047. The reversal of 8034642000 is 2464308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 259181985 + ... + 259182015.

Almost surely, 2^8034642000 is an apocalyptic number.

8034642000 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 8034642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19264766976).

8034642000 is an abundant number, since it is smaller than the sum of its proper divisors (30494891952).

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

8034642000 is a wasteful number, since it uses less digits than its factorization.

8034642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 8034642000 is about 89636.1645765815. The cubic root of 8034642000 is about 2002.8826764254.

The spelling of 8034642000 in words is "eight billion, thirty-four million, six hundred forty-two thousand".