427645562960 has 320 divisors, whose sum is σ = 1282491629568. Its totient is φ = 128701440000.

The previous prime is 427645562959. The next prime is 427645562963. The reversal of 427645562960 is 69265546724.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 427645562896 and 427645562905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427645562963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93759080 + ... + 93763640.

Almost surely, 2^427645562960 is an apocalyptic number.

427645562960 is a gapful number since it is divisible by the number (40) 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 427645562960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641245814784).

427645562960 is an abundant number, since it is smaller than the sum of its proper divisors (854846066608).

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

427645562960 is a wasteful number, since it uses less digits than its factorization.

427645562960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5114 (or 5108 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 56.

The spelling of 427645562960 in words is "four hundred twenty-seven billion, six hundred forty-five million, five hundred sixty-two thousand, nine hundred sixty".