71470425600 has 960 divisors, whose sum is σ = 309803028480. Its totient is φ = 15792537600.

The previous prime is 71470425571. The next prime is 71470425601. The reversal of 71470425600 is 652407417.

71470425600 is a `hidden beast` number, since 7 + 1 + 4 + 7 + 0 + 42 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71470425601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74994724 + ... + 74995676.

It is an arithmetic number, because the mean of its divisors is an integer number (322711488).

Almost surely, 2^71470425600 is an apocalyptic number.

71470425600 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 71470425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154901514240).

71470425600 is an abundant number, since it is smaller than the sum of its proper divisors (238332602880).

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

71470425600 is a wasteful number, since it uses less digits than its factorization.

71470425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 71470425600 in words is "seventy-one billion, four hundred seventy million, four hundred twenty-five thousand, six hundred".