42648439680 has 1536 divisors, whose sum is σ = 202606272000. Its totient is φ = 8360755200.

The previous prime is 42648439657. The next prime is 42648439723. The reversal of 42648439680 is 8693484624.

42648439680 is a `hidden beast` number, since 42 + 64 + 84 + 396 + 80 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 176964360 + ... + 176964600.

It is an arithmetic number, because the mean of its divisors is an integer number (131905125).

Almost surely, 2^42648439680 is an apocalyptic number.

42648439680 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 42648439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101303136000).

42648439680 is an abundant number, since it is smaller than the sum of its proper divisors (159957832320).

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

42648439680 is a wasteful number, since it uses less digits than its factorization.

42648439680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 42648439680 in words is "forty-two billion, six hundred forty-eight million, four hundred thirty-nine thousand, six hundred eighty".