42737535900 has 360 divisors, whose sum is σ = 147742887600. Its totient is φ = 10649180160.

The previous prime is 42737535871. The next prime is 42737535901. The reversal of 42737535900 is 953573724.

42737535900 is a `hidden beast` number, since 4 + 2 + 7 + 3 + 7 + 53 + 590 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (42737535901) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20516259 + ... + 20518341.

It is an arithmetic number, because the mean of its divisors is an integer number (410396910).

Almost surely, 2^42737535900 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 42737535900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73871443800).

42737535900 is an abundant number, since it is smaller than the sum of its proper divisors (105005351700).

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

42737535900 is a wasteful number, since it uses less digits than its factorization.

42737535900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 42737535900 in words is "forty-two billion, seven hundred thirty-seven million, five hundred thirty-five thousand, nine hundred".