71910137834640 has 1200 divisors, whose sum is σ = 323811898819200. Its totient is φ = 14655525986304.

The previous prime is 71910137834627. The next prime is 71910137834671. The reversal of 71910137834640 is 4643873101917.

71910137834640 is a `hidden beast` number, since 7 + 1 + 9 + 101 + 3 + 78 + 3 + 464 + 0 = 666.

71910137834640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 102208381 + ... + 102909539.

It is an arithmetic number, because the mean of its divisors is an integer number (269843249016).

Almost surely, 2^{71910137834640} is an apocalyptic number.

71910137834640 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 71910137834640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161905949409600).

71910137834640 is an abundant number, since it is smaller than the sum of its proper divisors (251901760984560).

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

71910137834640 is a wasteful number, since it uses less digits than its factorization.

71910137834640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701234 (or 701212 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 71910137834640 in words is "seventy-one trillion, nine hundred ten billion, one hundred thirty-seven million, eight hundred thirty-four thousand, six hundred forty".