77333673344 has 64 divisors (see below), whose sum is σ = 159858545280. Its totient is φ = 37225267200.

The previous prime is 77333673343. The next prime is 77333673349. The reversal of 77333673344 is 44337633377.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×77333673344² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 77333673292 and 77333673301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77333673341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 715334 + ... + 816314.

It is an arithmetic number, because the mean of its divisors is an integer number (2497789770).

Almost surely, 2^77333673344 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 77333673344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79929272640).

77333673344 is an abundant number, since it is smaller than the sum of its proper divisors (82524871936).

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

77333673344 is a wasteful number, since it uses less digits than its factorization.

77333673344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101219 (or 101207 counting only the distinct ones).

The product of its digits is 8001504, while the sum is 50.

The spelling of 77333673344 in words is "seventy-seven billion, three hundred thirty-three million, six hundred seventy-three thousand, three hundred forty-four".