71001424368 has 320 divisors, whose sum is σ = 253088563200. Its totient is φ = 18598014720.

The previous prime is 71001424367. The next prime is 71001424369. The reversal of 71001424368 is 86342410017.

It is an interprime number because it is at equal distance from previous prime (71001424367) and next prime (71001424369).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71001424363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1761205 + ... + 1801067.

It is an arithmetic number, because the mean of its divisors is an integer number (790901760).

Almost surely, 2^71001424368 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 71001424368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126544281600).

71001424368 is an abundant number, since it is smaller than the sum of its proper divisors (182087138832).

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

71001424368 is a wasteful number, since it uses less digits than its factorization.

71001424368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39937 (or 39925 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 71001424368 in words is "seventy-one billion, one million, four hundred twenty-four thousand, three hundred sixty-eight".