77537466006 has 288 divisors, whose sum is σ = 213424637184. Its totient is φ = 18235526400.

The previous prime is 77537465977. The next prime is 77537466007. The reversal of 77537466006 is 60066473577.

It is a self number, because there is not a number n which added to its sum of digits gives 77537466006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77537466007) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 393591100 + ... + 393591296.

It is an arithmetic number, because the mean of its divisors is an integer number (741057768).

Almost surely, 2^77537466006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77537466006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106712318592).

77537466006 is an abundant number, since it is smaller than the sum of its proper divisors (135887171178).

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

77537466006 is a wasteful number, since it uses less digits than its factorization.

77537466006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 51.

The spelling of 77537466006 in words is "seventy-seven billion, five hundred thirty-seven million, four hundred sixty-six thousand, six".