42372260784 has 320 divisors, whose sum is σ = 148014336000. Its totient is φ = 11579065344.

The previous prime is 42372260783. The next prime is 42372260797. The reversal of 42372260784 is 48706227324.

42372260784 is a `hidden beast` number, since 4 + 2 + 37 + 2 + 2 + 607 + 8 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (42372260783) 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 63 ways as a sum of consecutive naturals, for example, 3401832 + ... + 3414264.

It is an arithmetic number, because the mean of its divisors is an integer number (462544800).

Almost surely, 2^42372260784 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 42372260784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74007168000).

42372260784 is an abundant number, since it is smaller than the sum of its proper divisors (105642075216).

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

42372260784 is a wasteful number, since it uses less digits than its factorization.

42372260784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12494 (or 12468 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 42372260784 in words is "forty-two billion, three hundred seventy-two million, two hundred sixty thousand, seven hundred eighty-four".