427572656532 has 960 divisors, whose sum is σ = 1451907072000. Its totient is φ = 106991539200.

The previous prime is 427572656531. The next prime is 427572656543. The reversal of 427572656532 is 235656275724.

427572656532 is a `hidden beast` number, since 4 + 2 + 7 + 5 + 72 + 6 + 565 + 3 + 2 = 666.

It is a super-2 number, since 2×427572656532² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427572656531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5412312069 + ... + 5412312147.

It is an arithmetic number, because the mean of its divisors is an integer number (1512403200).

Almost surely, 2^427572656532 is an apocalyptic number.

427572656532 is a gapful number since it is divisible by the number (42) 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 427572656532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725953536000).

427572656532 is an abundant number, since it is smaller than the sum of its proper divisors (1024334415468).

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

427572656532 is a wasteful number, since it uses less digits than its factorization.

427572656532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 271 counting only the distinct ones).

The product of its digits is 21168000, while the sum is 54.

The spelling of 427572656532 in words is "four hundred twenty-seven billion, five hundred seventy-two million, six hundred fifty-six thousand, five hundred thirty-two".