71670999426048 has 880 divisors, whose sum is σ = 245142362836800. Its totient is φ = 20656081797120.

The previous prime is 71670999426043. The next prime is 71670999426049. The reversal of 71670999426048 is 84062499907617.

71670999426048 is a `hidden beast` number, since 7 + 1 + 6 + 7 + 0 + 9 + 9 + 9 + 4 + 2 + 604 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (71670999426043) 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 79 ways as a sum of consecutive naturals, for example, 1772741898 + ... + 1772782326.

It is an arithmetic number, because the mean of its divisors is an integer number (278570866860).

Almost surely, 2^{71670999426048} 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 71670999426048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122571181418400).

71670999426048 is an abundant number, since it is smaller than the sum of its proper divisors (173471363410752).

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

71670999426048 is a wasteful number, since it uses less digits than its factorization.

71670999426048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40568 (or 40541 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 71670999426048 in words is "seventy-one trillion, six hundred seventy billion, nine hundred ninety-nine million, four hundred twenty-six thousand, forty-eight".