77140825632 has 240 divisors, whose sum is σ = 250284007512. Its totient is φ = 23156305920.

The previous prime is 77140825589. The next prime is 77140825747. The reversal of 77140825632 is 23652804177.

77140825632 is a `hidden beast` number, since 7 + 7 + 1 + 4 + 0 + 8 + 2 + 5 + 632 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39475331856 + 37665493776 = 198684^2 + 194076^2 .

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1353618 + ... + 1409454.

Almost surely, 2^77140825632 is an apocalyptic number.

77140825632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77140825632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125142003756).

77140825632 is an abundant number, since it is smaller than the sum of its proper divisors (173143181880).

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

77140825632 is a wasteful number, since it uses less digits than its factorization.

77140825632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55913 (or 55896 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 77140825632 in words is "seventy-seven billion, one hundred forty million, eight hundred twenty-five thousand, six hundred thirty-two".