71484456960 has 1080 divisors, whose sum is σ = 309561645120. Its totient is φ = 15479341056.

The previous prime is 71484456943. The next prime is 71484456961. The reversal of 71484456960 is 6965448417.

71484456960 is a `hidden beast` number, since 7 + 1 + 484 + 45 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×71484456960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 71484456897 and 71484456906.

It is not an unprimeable number, because it can be changed into a prime (71484456961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3762339831 + ... + 3762339849.

Almost surely, 2^71484456960 is an apocalyptic number.

71484456960 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 71484456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154780822560).

71484456960 is an abundant number, since it is smaller than the sum of its proper divisors (238077188160).

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

71484456960 is an frugal number, since it uses more digits than its factorization.

71484456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 71484456960 in words is "seventy-one billion, four hundred eighty-four million, four hundred fifty-six thousand, nine hundred sixty".