42872656320 has 448 divisors, whose sum is σ = 172468275840. Its totient is φ = 9932046336.

The previous prime is 42872656301. The next prime is 42872656327. The reversal of 42872656320 is 2365627824.

42872656320 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 2 + 6 + 5 + 632 + 0 = 666.

42872656320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42872656327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1898214 + ... + 1920666.

It is an arithmetic number, because the mean of its divisors is an integer number (384973830).

Almost surely, 2^42872656320 is an apocalyptic number.

42872656320 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 42872656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86234137920).

42872656320 is an abundant number, since it is smaller than the sum of its proper divisors (129595619520).

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

42872656320 is a wasteful number, since it uses less digits than its factorization.

42872656320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22509 (or 22493 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 42872656320 in words is "forty-two billion, eight hundred seventy-two million, six hundred fifty-six thousand, three hundred twenty".