77687249472 has 112 divisors (see below), whose sum is σ = 261012757120. Its totient is φ = 22196353536.

The previous prime is 77687249461. The next prime is 77687249473. The reversal of 77687249472 is 27494278677.

77687249472 is a `hidden beast` number, since 7 + 7 + 6 + 8 + 72 + 494 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (77687249473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3199183 + ... + 3223374.

Almost surely, 2^77687249472 is an apocalyptic number.

77687249472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77687249472 is an abundant number, since it is smaller than the sum of its proper divisors (183325507648).

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

77687249472 is a wasteful number, since it uses less digits than its factorization.

77687249472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6422585 (or 6422569 counting only the distinct ones).

The product of its digits is 66382848, while the sum is 63.

The spelling of 77687249472 in words is "seventy-seven billion, six hundred eighty-seven million, two hundred forty-nine thousand, four hundred seventy-two".