76002849216 has 336 divisors, whose sum is σ = 260248847040. Its totient is φ = 20747059200.

The previous prime is 76002849211. The next prime is 76002849227. The reversal of 76002849216 is 61294820067.

It is a happy number.

76002849216 is a `hidden beast` number, since 7 + 600 + 28 + 4 + 9 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76002849211) 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 47 ways as a sum of consecutive naturals, for example, 11338666 + ... + 11345366.

It is an arithmetic number, because the mean of its divisors is an integer number (774550140).

Almost surely, 2^76002849216 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 76002849216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130124423520).

76002849216 is an abundant number, since it is smaller than the sum of its proper divisors (184245997824).

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

76002849216 is a wasteful number, since it uses less digits than its factorization.

76002849216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6852 (or 6839 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 76002849216 in words is "seventy-six billion, two million, eight hundred forty-nine thousand, two hundred sixteen".