42645635280 has 240 divisors, whose sum is σ = 154264144320. Its totient is φ = 10522939392.

The previous prime is 42645635267. The next prime is 42645635281. The reversal of 42645635280 is 8253654624.

42645635280 is a `hidden beast` number, since 4 + 2 + 6 + 4 + 5 + 635 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42645635281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 551992 + ... + 624488.

It is an arithmetic number, because the mean of its divisors is an integer number (642767268).

Almost surely, 2^42645635280 is an apocalyptic number.

42645635280 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 42645635280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77132072160).

42645635280 is an abundant number, since it is smaller than the sum of its proper divisors (111618509040).

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

42645635280 is a wasteful number, since it uses less digits than its factorization.

42645635280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72578 (or 72569 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 42645635280 in words is "forty-two billion, six hundred forty-five million, six hundred thirty-five thousand, two hundred eighty".