71877536640 has 768 divisors, whose sum is σ = 307286179200. Its totient is φ = 15075901440.

The previous prime is 71877536593. The next prime is 71877536651. The reversal of 71877536640 is 4663577817.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126322276 + ... + 126322844.

Almost surely, 2^71877536640 is an apocalyptic number.

71877536640 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 71877536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153643089600).

71877536640 is an abundant number, since it is smaller than the sum of its proper divisors (235408642560).

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

71877536640 is a wasteful number, since it uses less digits than its factorization.

71877536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 71877536640 in words is "seventy-one billion, eight hundred seventy-seven million, five hundred thirty-six thousand, six hundred forty".