71679307138560 has 3200 divisors, whose sum is σ = 311861860992000. Its totient is φ = 15521525268480.

The previous prime is 71679307138531. The next prime is 71679307138603. The reversal of 71679307138560 is 6583170397617.

It is a happy number.

71679307138560 is a `hidden beast` number, since 7 + 1 + 6 + 7 + 9 + 30 + 7 + 1 + 38 + 560 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 159642109216 + ... + 159642109664.

It is an arithmetic number, because the mean of its divisors is an integer number (97456831560).

Almost surely, 2^{71679307138560} 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 71679307138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155930930496000).

71679307138560 is an abundant number, since it is smaller than the sum of its proper divisors (240182553853440).

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

71679307138560 is a wasteful number, since it uses less digits than its factorization.

71679307138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 71679307138560 in words is "seventy-one trillion, six hundred seventy-nine billion, three hundred seven million, one hundred thirty-eight thousand, five hundred sixty".