75277447870464 has 768 divisors, whose sum is σ = 260324064000000. Its totient is φ = 21484892749824.

The previous prime is 75277447870321. The next prime is 75277447870481. The reversal of 75277447870464 is 46407874477257.

75277447870464 is a `hidden beast` number, since 7 + 5 + 2 + 77 + 447 + 8 + 70 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 75277447870392 and 75277447870401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26534171254 + ... + 26534174090.

It is an arithmetic number, because the mean of its divisors is an integer number (338963625000).

Almost surely, 2^{75277447870464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75277447870464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130162032000000).

75277447870464 is an abundant number, since it is smaller than the sum of its proper divisors (185046616129536).

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

75277447870464 is a wasteful number, since it uses less digits than its factorization.

75277447870464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4288 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 2065244160, while the sum is 72.

The spelling of 75277447870464 in words is "seventy-five trillion, two hundred seventy-seven billion, four hundred forty-seven million, eight hundred seventy thousand, four hundred sixty-four".