71267378636160 has 2048 divisors, whose sum is σ = 304669071360000. Its totient is φ = 15400511078400.

The previous prime is 71267378636101. The next prime is 71267378636191. The reversal of 71267378636160 is 6163687376217.

It is a happy number.

71267378636160 is a `hidden beast` number, since 7 + 1 + 2 + 6 + 7 + 3 + 7 + 8 + 6 + 3 + 616 + 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 255 ways as a sum of consecutive naturals, for example, 57988102426 + ... + 57988103654.

It is an arithmetic number, because the mean of its divisors is an integer number (148764195000).

Almost surely, 2^{71267378636160} is an apocalyptic number.

71267378636160 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 71267378636160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152334535680000).

71267378636160 is an abundant number, since it is smaller than the sum of its proper divisors (233401692723840).

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

71267378636160 is a wasteful number, since it uses less digits than its factorization.

71267378636160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 71267378636160 in words is "seventy-one trillion, two hundred sixty-seven billion, three hundred seventy-eight million, six hundred thirty-six thousand, one hundred sixty".