7967494080 has 1008 divisors, whose sum is σ = 35477586144. Its totient is φ = 1625702400.

The previous prime is 7967494063. The next prime is 7967494099. The reversal of 7967494080 is 804947697.

It is a happy number.

7967494080 is a `hidden beast` number, since 79 + 6 + 7 + 494 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 78886030 + ... + 78886130.

It is an arithmetic number, because the mean of its divisors is an integer number (35196018).

Almost surely, 2^7967494080 is an apocalyptic number.

7967494080 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 7967494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17738793072).

7967494080 is an abundant number, since it is smaller than the sum of its proper divisors (27510092064).

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

7967494080 is a wasteful number, since it uses less digits than its factorization.

7967494080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 7967494080 is about 89260.8205205397. The cubic root of 7967494080 is about 1997.2874961579.

The spelling of 7967494080 in words is "seven billion, nine hundred sixty-seven million, four hundred ninety-four thousand, eighty".