71608709975040 has 2112 divisors, whose sum is σ = 298925407872000. Its totient is φ = 16100234625024.

The previous prime is 71608709974993. The next prime is 71608709975041. The reversal of 71608709975040 is 4057990780617.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (71608709975041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 180374584122 + ... + 180374584518.

Almost surely, 2^{71608709975040} is an apocalyptic number.

71608709975040 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 71608709975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149462703936000).

71608709975040 is an abundant number, since it is smaller than the sum of its proper divisors (227316697896960).

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

71608709975040 is a wasteful number, since it uses less digits than its factorization.

71608709975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 71608709975040 in words is "seventy-one trillion, six hundred eight billion, seven hundred nine million, nine hundred seventy-five thousand, forty".