42874997760 has 704 divisors, whose sum is σ = 176609264640. Its totient is φ = 9782083584.

The previous prime is 42874997749. The next prime is 42874997779. The reversal of 42874997760 is 6779947824.

42874997760 is a `hidden beast` number, since 4 + 2 + 87 + 499 + 7 + 7 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78381807 + ... + 78382353.

Almost surely, 2^42874997760 is an apocalyptic number.

42874997760 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 42874997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88304632320).

42874997760 is an abundant number, since it is smaller than the sum of its proper divisors (133734266880).

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

42874997760 is an frugal number, since it uses more digits than its factorization.

42874997760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 42874997760 in words is "forty-two billion, eight hundred seventy-four million, nine hundred ninety-seven thousand, seven hundred sixty".