427637628288 has 192 divisors, whose sum is σ = 1350238060080. Its totient is φ = 129097912320.

The previous prime is 427637628281. The next prime is 427637628347. The reversal of 427637628288 is 882826736724.

427637628288 is a `hidden beast` number, since 4 + 276 + 3 + 7 + 6 + 282 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×427637628288² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427637628281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 524343 + ... + 1063113.

Almost surely, 2^427637628288 is an apocalyptic number.

427637628288 is a gapful number since it is divisible by the number (48) 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 427637628288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675119030040).

427637628288 is an abundant number, since it is smaller than the sum of its proper divisors (922600431792).

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

427637628288 is a wasteful number, since it uses less digits than its factorization.

427637628288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538857 (or 538842 counting only the distinct ones).

The product of its digits is 86704128, while the sum is 63.

The spelling of 427637628288 in words is "four hundred twenty-seven billion, six hundred thirty-seven million, six hundred twenty-eight thousand, two hundred eighty-eight".