7991441920 has 320 divisors, whose sum is σ = 24267589632. Its totient is φ = 2451456000.

The previous prime is 7991441881. The next prime is 7991441989. The reversal of 7991441920 is 291441997.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13995235 + ... + 13995805.

Almost surely, 2^7991441920 is an apocalyptic number.

7991441920 is a gapful number since it is divisible by the number (70) 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 7991441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12133794816).

7991441920 is an abundant number, since it is smaller than the sum of its proper divisors (16276147712).

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

7991441920 is a wasteful number, since it uses less digits than its factorization.

7991441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

The square root of 7991441920 is about 89394.8651769217. The cubic root of 7991441920 is about 1999.2865722073.

The spelling of 7991441920 in words is "seven billion, nine hundred ninety-one million, four hundred forty-one thousand, nine hundred twenty".