42756713472 has 264 divisors, whose sum is σ = 126600497856. Its totient is φ = 12723200000.

The previous prime is 42756713437. The next prime is 42756713551. The reversal of 42756713472 is 27431765724.

42756713472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170345347 + ... + 170345597.

Almost surely, 2^42756713472 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 42756713472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63300248928).

42756713472 is an abundant number, since it is smaller than the sum of its proper divisors (83843784384).

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

42756713472 is a wasteful number, since it uses less digits than its factorization.

42756713472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 338 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 48.

The spelling of 42756713472 in words is "forty-two billion, seven hundred fifty-six million, seven hundred thirteen thousand, four hundred seventy-two".