42802362794646 has 768 divisors, whose sum is σ = 123423842304000. Its totient is φ = 10924741465344.

The previous prime is 42802362794641. The next prime is 42802362794677. The reversal of 42802362794646 is 64649726320824.

42802362794646 is a `hidden beast` number, since 4 + 2 + 80 + 23 + 6 + 2 + 79 + 464 + 6 = 666.

42802362794646 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42802362794646² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42802362794641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 56542090500 + ... + 56542091256.

It is an arithmetic number, because the mean of its divisors is an integer number (160708128000).

Almost surely, 2^{42802362794646} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42802362794646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61711921152000).

42802362794646 is an abundant number, since it is smaller than the sum of its proper divisors (80621479509354).

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

42802362794646 is a wasteful number, since it uses less digits than its factorization.

42802362794646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 63.

The spelling of 42802362794646 in words is "forty-two trillion, eight hundred two billion, three hundred sixty-two million, seven hundred ninety-four thousand, six hundred forty-six".