42784362621 has 512 divisors, whose sum is σ = 98703360000. Its totient is φ = 17662095360.

The previous prime is 42784362613. The next prime is 42784362641. The reversal of 42784362621 is 12626348724.

It is a happy number.

It is not a de Polignac number, because 42784362621 - 2³ = 42784362613 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42784362641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1475322835 + ... + 1475322863.

It is an arithmetic number, because the mean of its divisors is an integer number (192780000).

Almost surely, 2^42784362621 is an apocalyptic number.

It is an amenable number.

42784362621 is an abundant number, since it is smaller than the sum of its proper divisors (55918997379).

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

42784362621 is a wasteful number, since it uses less digits than its factorization.

42784362621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 99 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 42784362621 in words is "forty-two billion, seven hundred eighty-four million, three hundred sixty-two thousand, six hundred twenty-one".