76687482816 has 168 divisors, whose sum is σ = 251428544640. Its totient is φ = 21891856896.

The previous prime is 76687482803. The next prime is 76687482821. The reversal of 76687482816 is 61828478667.

76687482816 is a `hidden beast` number, since 7 + 66 + 87 + 482 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 23 ways as a sum of consecutive naturals, for example, 5068735 + ... + 5083841.

It is an arithmetic number, because the mean of its divisors is an integer number (1496598480).

Almost surely, 2^76687482816 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 76687482816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125714272320).

76687482816 is an abundant number, since it is smaller than the sum of its proper divisors (174741061824).

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

76687482816 is a wasteful number, since it uses less digits than its factorization.

76687482816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16391 (or 16378 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The spelling of 76687482816 in words is "seventy-six billion, six hundred eighty-seven million, four hundred eighty-two thousand, eight hundred sixteen".