42737577856 has 128 divisors (see below), whose sum is σ = 92441865600. Its totient is φ = 19606929408.

The previous prime is 42737577853. The next prime is 42737577863. The reversal of 42737577856 is 65877573724.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 42737577794 and 42737577803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42737577853) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14135961 + ... + 14138983.

It is an arithmetic number, because the mean of its divisors is an integer number (722202075).

Almost surely, 2^42737577856 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 42737577856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46220932800).

42737577856 is an abundant number, since it is smaller than the sum of its proper divisors (49704287744).

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

42737577856 is a wasteful number, since it uses less digits than its factorization.

42737577856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 3204 counting only the distinct ones).

The product of its digits is 69148800, while the sum is 61.

The spelling of 42737577856 in words is "forty-two billion, seven hundred thirty-seven million, five hundred seventy-seven thousand, eight hundred fifty-six".