77147042674000 has 80 divisors (see below), whose sum is σ = 200890899190800. Its totient is φ = 28485061900800.

The previous prime is 77147042673979. The next prime is 77147042674019. The reversal of 77147042674000 is 47624074177.

It can be written as a sum of positive squares in 8 ways, for example, as 16140820494096 + 61006222179904 = 4017564^2 + 7810648^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1483570975 + ... + 1483622974.

It is an arithmetic number, because the mean of its divisors is an integer number (2511136239885).

Almost surely, 2^{77147042674000} is an apocalyptic number.

It is an amenable number.

77147042674000 is an abundant number, since it is smaller than the sum of its proper divisors (123743856516800).

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

77147042674000 is a wasteful number, since it uses less digits than its factorization.

77147042674000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967193985 (or 2967193969 counting only the distinct ones).

The product of its (nonzero) digits is 1843968, while the sum is 49.

The spelling of 77147042674000 in words is "seventy-seven trillion, one hundred forty-seven billion, forty-two million, six hundred seventy-four thousand".