42672574080 has 192 divisors, whose sum is σ = 147481326720. Its totient is φ = 11369502720.

The previous prime is 42672574073. The next prime is 42672574093. The reversal of 42672574080 is 8047527624.

It is a happy number.

42672574080 is a `hidden beast` number, since 4 + 2 + 6 + 72 + 574 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×42672574080² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8700909 + ... + 8705811.

It is an arithmetic number, because the mean of its divisors is an integer number (768131910).

Almost surely, 2^42672574080 is an apocalyptic number.

42672574080 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 42672574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73740663360).

42672574080 is an abundant number, since it is smaller than the sum of its proper divisors (104808752640).

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

42672574080 is a wasteful number, since it uses less digits than its factorization.

42672574080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6439 (or 6424 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 42672574080 in words is "forty-two billion, six hundred seventy-two million, five hundred seventy-four thousand, eighty".