42633631260 has 288 divisors, whose sum is σ = 146723216640. Its totient is φ = 10269452160.

The previous prime is 42633631259. The next prime is 42633631273. The reversal of 42633631260 is 6213633624.

42633631260 is a `hidden beast` number, since 4 + 2 + 6 + 336 + 312 + 6 + 0 = 666.

42633631260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10648419 + ... + 10652421.

Almost surely, 2^42633631260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42633631260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73361608320).

42633631260 is an abundant number, since it is smaller than the sum of its proper divisors (104089585380).

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

42633631260 is a wasteful number, since it uses less digits than its factorization.

42633631260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4206 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 42633631260 in words is "forty-two billion, six hundred thirty-three million, six hundred thirty-one thousand, two hundred sixty".