71607814560 has 192 divisors, whose sum is σ = 250758668160. Its totient is φ = 19085414400.

The previous prime is 71607814549. The next prime is 71607814567. The reversal of 71607814560 is 6541870617.

71607814560 is a `hidden beast` number, since 7 + 1 + 6 + 0 + 7 + 81 + 4 + 560 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is not an unprimeable number, because it can be changed into a prime (71607814567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12235635 + ... + 12241485.

It is an arithmetic number, because the mean of its divisors is an integer number (1306034730).

Almost surely, 2^71607814560 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 71607814560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125379334080).

71607814560 is an abundant number, since it is smaller than the sum of its proper divisors (179150853600).

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

71607814560 is a wasteful number, since it uses less digits than its factorization.

71607814560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8708 (or 8694 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 71607814560 in words is "seventy-one billion, six hundred seven million, eight hundred fourteen thousand, five hundred sixty".