71390490007680 has 768 divisors, whose sum is σ = 258640331040000. Its totient is φ = 18110807801856.

The previous prime is 71390490007667. The next prime is 71390490007699. The reversal of 71390490007680 is 8670009409317.

It is a happy number.

71390490007680 is a `hidden beast` number, since 7 + 1 + 3 + 9 + 0 + 490 + 0 + 0 + 76 + 80 = 666.

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, 20403110571 + ... + 20403114069.

It is an arithmetic number, because the mean of its divisors is an integer number (336771264375).

Almost surely, 2^{71390490007680} 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 71390490007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129320165520000).

71390490007680 is an abundant number, since it is smaller than the sum of its proper divisors (187249841032320).

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

71390490007680 is a wasteful number, since it uses less digits than its factorization.

71390490007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4341 (or 4326 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 71390490007680 in words is "seventy-one trillion, three hundred ninety billion, four hundred ninety million, seven thousand, six hundred eighty".