7696377440 has 96 divisors (see below), whose sum is σ = 18838987776. Its totient is φ = 2968174080.

The previous prime is 7696377431. The next prime is 7696377449. The reversal of 7696377440 is 447736967.

It is a Cunningham number, because it is equal to 87729²-1.

It is an interprime number because it is at equal distance from previous prime (7696377431) and next prime (7696377449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7696377449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1400939 + ... + 1406421.

It is an arithmetic number, because the mean of its divisors is an integer number (196239456).

Almost surely, 2^7696377440 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 7696377440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9419493888).

7696377440 is an abundant number, since it is smaller than the sum of its proper divisors (11142610336).

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

7696377440 is a wasteful number, since it uses less digits than its factorization.

7696377440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5812 (or 5804 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 53.

The square root of 7696377440 is about 87728.9999943006. Note that the first 5 decimals coincide. The cubic root of 7696377440 is about 1974.3711026516.

The spelling of 7696377440 in words is "seven billion, six hundred ninety-six million, three hundred seventy-seven thousand, four hundred forty".