71867409840 has 160 divisors (see below), whose sum is σ = 251030361600. Its totient is φ = 18894677760.

The previous prime is 71867409811. The next prime is 71867409877. The reversal of 71867409840 is 4890476817.

It is a happy number.

It is a super-2 number, since 2×71867409840² (a number of 23 digits) contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 80950 + ... + 387669.

It is an arithmetic number, because the mean of its divisors is an integer number (1568939760).

Almost surely, 2^71867409840 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 71867409840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125515180800).

71867409840 is an abundant number, since it is smaller than the sum of its proper divisors (179162951760).

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

71867409840 is a wasteful number, since it uses less digits than its factorization.

71867409840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468712 (or 468700 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

It can be divided in two parts, 7186 and 7409840, that added together give a triangular number (7417026 = T₃₈₅₁).

The spelling of 71867409840 in words is "seventy-one billion, eight hundred sixty-seven million, four hundred nine thousand, eight hundred forty".