77252481648 has 40 divisors (see below), whose sum is σ = 221743235600. Its totient is φ = 25750827072.

The previous prime is 77252481643. The next prime is 77252481667. The reversal of 77252481648 is 84618425277.

77252481648 is a `hidden beast` number, since 7 + 72 + 52 + 481 + 6 + 48 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 = 77252481594 and 77252481603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77252481643) 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 7 ways as a sum of consecutive naturals, for example, 89412163 + ... + 89413026.

It is an arithmetic number, because the mean of its divisors is an integer number (5543580890).

Almost surely, 2^77252481648 is an apocalyptic number.

It is an amenable number.

77252481648 is an abundant number, since it is smaller than the sum of its proper divisors (144490753952).

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

77252481648 is a wasteful number, since it uses less digits than its factorization.

77252481648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178825206 (or 178825194 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 54.

The spelling of 77252481648 in words is "seventy-seven billion, two hundred fifty-two million, four hundred eighty-one thousand, six hundred forty-eight".