71760907008 has 432 divisors, whose sum is σ = 258478811136. Its totient is φ = 18672353280.

The previous prime is 71760906989. The next prime is 71760907021. The reversal of 71760907008 is 80070906717.

It is a happy number.

It is a super-2 number, since 2×71760907008² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8495235 + ... + 8503677.

Almost surely, 2^71760907008 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 71760907008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129239405568).

71760907008 is an abundant number, since it is smaller than the sum of its proper divisors (186717904128).

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

71760907008 is a wasteful number, since it uses less digits than its factorization.

71760907008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8520 (or 8503 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 71760907008 in words is "seventy-one billion, seven hundred sixty million, nine hundred seven thousand, eight".