42666987847680 has 1536 divisors, whose sum is σ = 179770629242880. Its totient is φ = 9149727375360.

The previous prime is 42666987847651. The next prime is 42666987847709. The reversal of 42666987847680 is 8674878966624.

It is an interprime number because it is at equal distance from previous prime (42666987847651) and next prime (42666987847709).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a self number, because there is not a number n which added to its sum of digits gives 42666987847680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12582418785 + ... + 12582422175.

It is an arithmetic number, because the mean of its divisors is an integer number (117038170080).

Almost surely, 2^{42666987847680} is an apocalyptic number.

42666987847680 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 42666987847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89885314621440).

42666987847680 is an abundant number, since it is smaller than the sum of its proper divisors (137103641395200).

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

42666987847680 is a wasteful number, since it uses less digits than its factorization.

42666987847680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 9364045824, while the sum is 81.

The spelling of 42666987847680 in words is "forty-two trillion, six hundred sixty-six billion, nine hundred eighty-seven million, eight hundred forty-seven thousand, six hundred eighty".