7912008000 has 672 divisors, whose sum is σ = 31153973760. Its totient is φ = 1904947200.

The previous prime is 7912007977. The next prime is 7912008011. The reversal of 7912008000 is 8002197.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73943947 + ... + 73944053.

It is an arithmetic number, because the mean of its divisors is an integer number (46360080).

Almost surely, 2^7912008000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7912008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15576986880).

7912008000 is an abundant number, since it is smaller than the sum of its proper divisors (23241965760).

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

7912008000 is a wasteful number, since it uses less digits than its factorization.

7912008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 7912008000 is about 88949.4688011120. The cubic root of 7912008000 is about 1992.6402838426.

The spelling of 7912008000 in words is "seven billion, nine hundred twelve million, eight thousand".