42670811664 has 480 divisors, whose sum is σ = 139334832000. Its totient is φ = 12556062720.

The previous prime is 42670811657. The next prime is 42670811713. The reversal of 42670811664 is 46611807624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122265762 + ... + 122266110.

It is an arithmetic number, because the mean of its divisors is an integer number (290280900).

Almost surely, 2^42670811664 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 42670811664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69667416000).

42670811664 is an abundant number, since it is smaller than the sum of its proper divisors (96664020336).

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

42670811664 is a wasteful number, since it uses less digits than its factorization.

42670811664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 42670811664 in words is "forty-two billion, six hundred seventy million, eight hundred eleven thousand, six hundred sixty-four".