77467993344 has 432 divisors, whose sum is σ = 264912211200. Its totient is φ = 21757317120.

The previous prime is 77467993331. The next prime is 77467993349. The reversal of 77467993344 is 44339976477.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77467993349) 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 47 ways as a sum of consecutive naturals, for example, 48205789 + ... + 48207395.

Almost surely, 2^77467993344 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 77467993344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132456105600).

77467993344 is an abundant number, since it is smaller than the sum of its proper divisors (187444217856).

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

77467993344 is a wasteful number, since it uses less digits than its factorization.

77467993344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1680 counting only the distinct ones).

The product of its digits is 96018048, while the sum is 63.

The spelling of 77467993344 in words is "seventy-seven billion, four hundred sixty-seven million, nine hundred ninety-three thousand, three hundred forty-four".