7689882816 has 1008 divisors, whose sum is σ = 31222444032. Its totient is φ = 1780531200.

The previous prime is 7689882779. The next prime is 7689882821. The reversal of 7689882816 is 6182889867.

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

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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 163614505 + ... + 163614551.

Almost surely, 2^7689882816 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 7689882816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15611222016).

7689882816 is an abundant number, since it is smaller than the sum of its proper divisors (23532561216).

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

7689882816 is a wasteful number, since it uses less digits than its factorization.

7689882816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 118 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 63.

The square root of 7689882816 is about 87691.9769192142. The cubic root of 7689882816 is about 1973.8155856091.

The spelling of 7689882816 in words is "seven billion, six hundred eighty-nine million, eight hundred eighty-two thousand, eight hundred sixteen".