71196466880 has 672 divisors, whose sum is σ = 227863798272. Its totient is φ = 20910489600.

The previous prime is 71196466879. The next prime is 71196466889. The reversal of 71196466880 is 8866469117.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (71196466889) 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 95 ways as a sum of consecutive naturals, for example, 519682172 + ... + 519682308.

Almost surely, 2^71196466880 is an apocalyptic number.

71196466880 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 71196466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113931899136).

71196466880 is an abundant number, since it is smaller than the sum of its proper divisors (156667331392).

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

71196466880 is a wasteful number, since it uses less digits than its factorization.

71196466880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 56.

The spelling of 71196466880 in words is "seventy-one billion, one hundred ninety-six million, four hundred sixty-six thousand, eight hundred eighty".