77032539648 has 240 divisors, whose sum is σ = 242697174720. Its totient is φ = 24325318656.

The previous prime is 77032539641. The next prime is 77032539677. The reversal of 77032539648 is 84693523077.

77032539648 is a `hidden beast` number, since 7 + 70 + 32 + 539 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 77032539594 and 77032539603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77032539641) 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 23 ways as a sum of consecutive naturals, for example, 2347611 + ... + 2380197.

It is an arithmetic number, because the mean of its divisors is an integer number (1011238228).

Almost surely, 2^77032539648 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 77032539648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121348587360).

77032539648 is an abundant number, since it is smaller than the sum of its proper divisors (165664635072).

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

77032539648 is an equidigital number, since it uses as much as digits as its factorization.

77032539648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32639 (or 32611 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 77032539648 in words is "seventy-seven billion, thirty-two million, five hundred thirty-nine thousand, six hundred forty-eight".