42647591680512 has 1280 divisors, whose sum is σ = 156739968000000. Its totient is φ = 10191723429888.

The previous prime is 42647591680501. The next prime is 42647591680613. The reversal of 42647591680512 is 21508619574624.

It is a super-2 number, since 2×42647591680512² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2993016364 + ... + 2993030612.

It is an arithmetic number, because the mean of its divisors is an integer number (122453100000).

Almost surely, 2^{42647591680512} is an apocalyptic number.

42647591680512 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42647591680512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78369984000000).

42647591680512 is an abundant number, since it is smaller than the sum of its proper divisors (114092376319488).

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

42647591680512 is a wasteful number, since it uses less digits than its factorization.

42647591680512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14346 (or 14316 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 42647591680512 in words is "forty-two trillion, six hundred forty-seven billion, five hundred ninety-one million, six hundred eighty thousand, five hundred twelve".