42546329280 has 672 divisors, whose sum is σ = 182876488704. Its totient is φ = 8839176192.

The previous prime is 42546329263. The next prime is 42546329311. The reversal of 42546329280 is 8292364524.

42546329280 is a `hidden beast` number, since 4 + 2 + 5 + 4 + 632 + 9 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 17558149 + ... + 17560571.

It is an arithmetic number, because the mean of its divisors is an integer number (272137632).

Almost surely, 2^42546329280 is an apocalyptic number.

42546329280 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 42546329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91438244352).

42546329280 is an abundant number, since it is smaller than the sum of its proper divisors (140330159424).

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

42546329280 is a wasteful number, since it uses less digits than its factorization.

42546329280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 42546329280 in words is "forty-two billion, five hundred forty-six million, three hundred twenty-nine thousand, two hundred eighty".