7693116480 has 448 divisors, whose sum is σ = 31285647360. Its totient is φ = 1743206400.

The previous prime is 7693116449. The next prime is 7693116481. The reversal of 7693116480 is 846113967.

It is a happy number.

7693116480 is a `hidden beast` number, since 76 + 93 + 1 + 16 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7693116481) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7922395 + ... + 7923365.

Almost surely, 2^7693116480 is an apocalyptic number.

7693116480 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 7693116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15642823680).

7693116480 is an abundant number, since it is smaller than the sum of its proper divisors (23592530880).

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

7693116480 is a wasteful number, since it uses less digits than its factorization.

7693116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 7693116480 is about 87710.4126087661. The cubic root of 7693116480 is about 1974.0922158304.

The spelling of 7693116480 in words is "seven billion, six hundred ninety-three million, one hundred sixteen thousand, four hundred eighty".