77724440006160 has 40 divisors (see below), whose sum is σ = 240945764019840. Its totient is φ = 20726517334912.

The previous prime is 77724440006131. The next prime is 77724440006203. The reversal of 77724440006160 is 6160004442777.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161925916440 + ... + 161925916919.

It is an arithmetic number, because the mean of its divisors is an integer number (6023644100496).

Almost surely, 2^{77724440006160} is an apocalyptic number.

It is an amenable number.

77724440006160 is an abundant number, since it is smaller than the sum of its proper divisors (163221324013680).

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

77724440006160 is a wasteful number, since it uses less digits than its factorization.

77724440006160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323851833375 (or 323851833369 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 48.

The spelling of 77724440006160 in words is "seventy-seven trillion, seven hundred twenty-four billion, four hundred forty million, six thousand, one hundred sixty".