71670961300 has 144 divisors (see below), whose sum is σ = 167175550080. Its totient is φ = 26574704640.

The previous prime is 71670961277. The next prime is 71670961301. The reversal of 71670961300 is 316907617.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71670961301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46448329 + ... + 46449871.

It is an arithmetic number, because the mean of its divisors is an integer number (1160941320).

Almost surely, 2^71670961300 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 71670961300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83587775040).

71670961300 is an abundant number, since it is smaller than the sum of its proper divisors (95504588780).

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

71670961300 is a wasteful number, since it uses less digits than its factorization.

71670961300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 40.

The spelling of 71670961300 in words is "seventy-one billion, six hundred seventy million, nine hundred sixty-one thousand, three hundred".