71994282272640 has 768 divisors, whose sum is σ = 307578094387200. Its totient is φ = 15110452592640.

The previous prime is 71994282272579. The next prime is 71994282272681. The reversal of 71994282272640 is 4627228249917.

It is a happy number.

71994282272640 is a `hidden beast` number, since 7 + 1 + 9 + 94 + 282 + 2 + 7 + 264 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 99755001 + ... + 100474119.

It is an arithmetic number, because the mean of its divisors is an integer number (400492310400).

Almost surely, 2^{71994282272640} is an apocalyptic number.

71994282272640 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 71994282272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153789047193600).

71994282272640 is an abundant number, since it is smaller than the sum of its proper divisors (235583812114560).

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

71994282272640 is a wasteful number, since it uses less digits than its factorization.

71994282272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719355 (or 719340 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 71994282272640 in words is "seventy-one trillion, nine hundred ninety-four billion, two hundred eighty-two million, two hundred seventy-two thousand, six hundred forty".