7955096448 has 128 divisors (see below), whose sum is σ = 22792250880. Its totient is φ = 2443843584.

The previous prime is 7955096407. The next prime is 7955096473. The reversal of 7955096448 is 8446905597.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6104565 + ... + 6105867.

It is an arithmetic number, because the mean of its divisors is an integer number (178064460).

Almost surely, 2^7955096448 is an apocalyptic number.

7955096448 is a gapful number since it is divisible by the number (78) 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 7955096448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11396125440).

7955096448 is an abundant number, since it is smaller than the sum of its proper divisors (14837154432).

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

7955096448 is a wasteful number, since it uses less digits than its factorization.

7955096448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The square root of 7955096448 is about 89191.3473830281. The cubic root of 7955096448 is about 1996.2510142773.

The spelling of 7955096448 in words is "seven billion, nine hundred fifty-five million, ninety-six thousand, four hundred forty-eight".