42467962680 has 1152 divisors, whose sum is σ = 177591398400. Its totient is φ = 8698060800.

The previous prime is 42467962573. The next prime is 42467962699. The reversal of 42467962680 is 8626976424.

42467962680 is a `hidden beast` number, since 4 + 2 + 4 + 6 + 7 + 9 + 626 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 477168076 + ... + 477168164.

It is an arithmetic number, because the mean of its divisors is an integer number (154159200).

Almost surely, 2^42467962680 is an apocalyptic number.

42467962680 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 42467962680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88795699200).

42467962680 is an abundant number, since it is smaller than the sum of its proper divisors (135123435720).

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

42467962680 is a wasteful number, since it uses less digits than its factorization.

42467962680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 42467962680 in words is "forty-two billion, four hundred sixty-seven million, nine hundred sixty-two thousand, six hundred eighty".