76355681664 has 256 divisors, whose sum is σ = 214699392000. Its totient is φ = 24015273984.

The previous prime is 76355681663. The next prime is 76355681683. The reversal of 76355681664 is 46618655367.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76355681663) 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 31 ways as a sum of consecutive naturals, for example, 66222912 + ... + 66224064.

It is an arithmetic number, because the mean of its divisors is an integer number (838669500).

Almost surely, 2^76355681664 is an apocalyptic number.

76355681664 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 76355681664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107349696000).

76355681664 is an abundant number, since it is smaller than the sum of its proper divisors (138343710336).

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

76355681664 is a wasteful number, since it uses less digits than its factorization.

76355681664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1333 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 57.

The spelling of 76355681664 in words is "seventy-six billion, three hundred fifty-five million, six hundred eighty-one thousand, six hundred sixty-four".