76669179664 has 405 divisors, whose sum is σ = 203261718933. Its totient is φ = 27910713600.

The previous prime is 76669179637. The next prime is 76669179703. The reversal of 76669179664 is 46697196667.

The square root of 76669179664 is 276892.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 40203458064 + 36465721600 = 200508^2 + 190960^2 .

It is a super-2 number, since 2×76669179664² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76669179664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2473199329 + ... + 2473199359.

Almost surely, 2^76669179664 is an apocalyptic number.

76669179664 is the 276892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76669179664

76669179664 is an abundant number, since it is smaller than the sum of its proper divisors (126592539269).

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

76669179664 is a wasteful number, since it uses less digits than its factorization.

76669179664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 80 counting only the distinct ones).

The product of its digits is 123451776, while the sum is 67.

The spelling of 76669179664 in words is "seventy-six billion, six hundred sixty-nine million, one hundred seventy-nine thousand, six hundred sixty-four".