227664516480 has 256 divisors, whose sum is σ = 746414343360. Its totient is φ = 58980925440.

The previous prime is 227664516479. The next prime is 227664516481. The reversal of 227664516480 is 84615466722.

It is an interprime number because it is at equal distance from previous prime (227664516479) and next prime (227664516481).

It is a super-2 number, since 2×227664516480² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227664516481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56616870 + ... + 56620890.

Almost surely, 2^227664516480 is an apocalyptic number.

227664516480 is a gapful number since it is divisible by the number (20) 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 227664516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373207171680).

227664516480 is an abundant number, since it is smaller than the sum of its proper divisors (518749826880).

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

227664516480 is a wasteful number, since it uses less digits than its factorization.

227664516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4877 (or 4865 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 227664516480 in words is "two hundred twenty-seven billion, six hundred sixty-four million, five hundred sixteen thousand, four hundred eighty".