8042496000 has 960 divisors, whose sum is σ = 35331738624. Its totient is φ = 1572864000.

The previous prime is 8042495977. The next prime is 8042496031. The reversal of 8042496000 is 6942408.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 473087992 + ... + 473088008.

Almost surely, 2^8042496000 is an apocalyptic number.

8042496000 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 8042496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17665869312).

8042496000 is an abundant number, since it is smaller than the sum of its proper divisors (27289242624).

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

8042496000 is a wasteful number, since it uses less digits than its factorization.

8042496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 8042496000 is about 89679.9643175665. The cubic root of 8042496000 is about 2003.5350812522.

The spelling of 8042496000 in words is "eight billion, forty-two million, four hundred ninety-six thousand".