71178704640 has 216 divisors, whose sum is σ = 255393164208. Its totient is φ = 18980904960.

The previous prime is 71178704599. The next prime is 71178704683. The reversal of 71178704640 is 4640787117.

71178704640 is a `hidden beast` number, since 7 + 117 + 8 + 70 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 196620 + ... + 425460.

Almost surely, 2^71178704640 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 71178704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127696582104).

71178704640 is an abundant number, since it is smaller than the sum of its proper divisors (184214459568).

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

71178704640 is an equidigital number, since it uses as much as digits as its factorization.

71178704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228877 (or 228851 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 71178704640 in words is "seventy-one billion, one hundred seventy-eight million, seven hundred four thousand, six hundred forty".