42375674880 has 880 divisors, whose sum is σ = 189462721536. Its totient is φ = 8798699520.

The previous prime is 42375674879. The next prime is 42375674899. The reversal of 42375674880 is 8847657324.

42375674880 is a `hidden beast` number, since 4 + 2 + 37 + 567 + 48 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

It is a super-3 number, since 3×42375674880³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31932777 + ... + 31934103.

Almost surely, 2^42375674880 is an apocalyptic number.

42375674880 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 42375674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94731360768).

42375674880 is an abundant number, since it is smaller than the sum of its proper divisors (147087046656).

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

42375674880 is a wasteful number, since it uses less digits than its factorization.

42375674880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 42375674880 in words is "forty-two billion, three hundred seventy-five million, six hundred seventy-four thousand, eight hundred eighty".