7696444896 has 432 divisors, whose sum is σ = 26751973248. Its totient is φ = 2090188800.

The previous prime is 7696444891. The next prime is 7696444907. The reversal of 7696444896 is 6984446967.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7696444891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31935336 + ... + 31935576.

It is an arithmetic number, because the mean of its divisors is an integer number (61925864).

Almost surely, 2^7696444896 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 7696444896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13375986624).

7696444896 is an abundant number, since it is smaller than the sum of its proper divisors (19055528352).

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

7696444896 is a wasteful number, since it uses less digits than its factorization.

7696444896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 357 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The square root of 7696444896 is about 87729.3844501373. The cubic root of 7696444896 is about 1974.3768708540.

The spelling of 7696444896 in words is "seven billion, six hundred ninety-six million, four hundred forty-four thousand, eight hundred ninety-six".