7696417344 has 448 divisors, whose sum is σ = 27219566592. Its totient is φ = 1857945600.

The previous prime is 7696417321. The next prime is 7696417349. The reversal of 7696417344 is 4437146967.

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 (51).

It is not an unprimeable number, because it can be changed into a prime (7696417349) 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, 28399929 + ... + 28400199.

Almost surely, 2^7696417344 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 7696417344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13609783296).

7696417344 is an abundant number, since it is smaller than the sum of its proper divisors (19523149248).

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

7696417344 is a wasteful number, since it uses less digits than its factorization.

7696417344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 424 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 51.

The square root of 7696417344 is about 87729.2274216524. The cubic root of 7696417344 is about 1974.3745148702.

The spelling of 7696417344 in words is "seven billion, six hundred ninety-six million, four hundred seventeen thousand, three hundred forty-four".