42710627584 has 72 divisors (see below), whose sum is σ = 91131429312. Its totient is φ = 19928494080.

The previous prime is 42710627567. The next prime is 42710627599. The reversal of 42710627584 is 48572601724.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152947 + ... + 329869.

It is an arithmetic number, because the mean of its divisors is an integer number (1265714296).

Almost surely, 2^42710627584 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 42710627584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45565714656).

42710627584 is an abundant number, since it is smaller than the sum of its proper divisors (48420801728).

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

42710627584 is a wasteful number, since it uses less digits than its factorization.

42710627584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177003 (or 176989 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 46.

The spelling of 42710627584 in words is "forty-two billion, seven hundred ten million, six hundred twenty-seven thousand, five hundred eighty-four".