71579168640 has 1344 divisors, whose sum is σ = 311126209920. Its totient is φ = 15676416000.

The previous prime is 71579168629. The next prime is 71579168653. The reversal of 71579168640 is 4686197517.

71579168640 is a `hidden beast` number, since 7 + 1 + 579 + 1 + 6 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 167 ways as a sum of consecutive naturals, for example, 708704590 + ... + 708704690.

Almost surely, 2^71579168640 is an apocalyptic number.

71579168640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71579168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155563104960).

71579168640 is an abundant number, since it is smaller than the sum of its proper divisors (239547041280).

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

71579168640 is a wasteful number, since it uses less digits than its factorization.

71579168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 71579168640 in words is "seventy-one billion, five hundred seventy-nine million, one hundred sixty-eight thousand, six hundred forty".