77633302144 has 64 divisors (see below), whose sum is σ = 163870325640. Its totient is φ = 36508205056.

The previous prime is 77633302141. The next prime is 77633302157. The reversal of 77633302144 is 44120333677.

It can be written as a sum of positive squares in 4 ways, for example, as 63548359744 + 14084942400 = 252088^2 + 118680^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 77633302097 and 77633302106.

It is not an unprimeable number, because it can be changed into a prime (77633302141) 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, 3367842 + ... + 3390814.

Almost surely, 2^77633302144 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 77633302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81935162820).

77633302144 is an abundant number, since it is smaller than the sum of its proper divisors (86237023496).

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

77633302144 is a wasteful number, since it uses less digits than its factorization.

77633302144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24557 (or 24545 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 40.

The spelling of 77633302144 in words is "seventy-seven billion, six hundred thirty-three million, three hundred two thousand, one hundred forty-four".