76027121664 has 416 divisors, whose sum is σ = 236356874880. Its totient is φ = 21530935296.

The previous prime is 76027121641. The next prime is 76027121669. The reversal of 76027121664 is 46612172067.

It is a tau number, because it is divible by the number of its divisors (416).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76027121669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112299694 + ... + 112300370.

Almost surely, 2^76027121664 is an apocalyptic number.

76027121664 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76027121664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118178437440).

76027121664 is an abundant number, since it is smaller than the sum of its proper divisors (160329753216).

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

76027121664 is a wasteful number, since it uses less digits than its factorization.

76027121664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 76027121664 in words is "seventy-six billion, twenty-seven million, one hundred twenty-one thousand, six hundred sixty-four".