7967088448 has 56 divisors (see below), whose sum is σ = 17308311840. Its totient is φ = 3608517120.

The previous prime is 7967088421. The next prime is 7967088457. The reversal of 7967088448 is 8448807697.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179238 + ... + 219226.

Almost surely, 2^7967088448 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 7967088448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8654155920).

7967088448 is an abundant number, since it is smaller than the sum of its proper divisors (9341223392).

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

7967088448 is a wasteful number, since it uses less digits than its factorization.

7967088448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40295 (or 40285 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 61.

The square root of 7967088448 is about 89258.5483189145. The cubic root of 7967088448 is about 1997.2536010393.

The spelling of 7967088448 in words is "seven billion, nine hundred sixty-seven million, eighty-eight thousand, four hundred forty-eight".