42664267360 has 192 divisors, whose sum is σ = 118708027200. Its totient is φ = 14285537280.

The previous prime is 42664267339. The next prime is 42664267361. The reversal of 42664267360 is 6376246624.

It is a super-2 number, since 2×42664267360² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42664267360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42664267361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10271044 + ... + 10275196.

It is an arithmetic number, because the mean of its divisors is an integer number (618270975).

Almost surely, 2^42664267360 is an apocalyptic number.

42664267360 is a gapful number since it is divisible by the number (40) 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 42664267360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59354013600).

42664267360 is an abundant number, since it is smaller than the sum of its proper divisors (76043759840).

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

42664267360 is a wasteful number, since it uses less digits than its factorization.

42664267360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4641 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 46.

The spelling of 42664267360 in words is "forty-two billion, six hundred sixty-four million, two hundred sixty-seven thousand, three hundred sixty".