42675609600 has 756 divisors, whose sum is σ = 166735721646. Its totient is φ = 10428088320.

The previous prime is 42675609569. The next prime is 42675609673. The reversal of 42675609600 is 690657624.

42675609600 is a `hidden beast` number, since 4 + 26 + 7 + 560 + 9 + 60 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 391090176 + 42284519424 = 19776^2 + 205632^2 .

It is a super-2 number, since 2×42675609600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 311500732 + ... + 311500868.

Almost surely, 2^42675609600 is an apocalyptic number.

42675609600 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 42675609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83367860823).

42675609600 is an abundant number, since it is smaller than the sum of its proper divisors (124060112046).

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

42675609600 is a wasteful number, since it uses less digits than its factorization.

42675609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 42675609600 in words is "forty-two billion, six hundred seventy-five million, six hundred nine thousand, six hundred".