42079579207584 has 768 divisors, whose sum is σ = 125727921930240. Its totient is φ = 12245022720000.

The previous prime is 42079579207553. The next prime is 42079579207609. The reversal of 42079579207584 is 48570297597024.

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, 188697664497 + ... + 188697664719.

It is an arithmetic number, because the mean of its divisors is an integer number (163708231680).

Almost surely, 2^{42079579207584} 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 42079579207584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62863960965120).

42079579207584 is an abundant number, since it is smaller than the sum of its proper divisors (83648342722656).

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

42079579207584 is a wasteful number, since it uses less digits than its factorization.

42079579207584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 355622400, while the sum is 69.

The spelling of 42079579207584 in words is "forty-two trillion, seventy-nine billion, five hundred seventy-nine million, two hundred seven thousand, five hundred eighty-four".