42470887680 has 288 divisors, whose sum is σ = 162307662720. Its totient is φ = 10454261760.

The previous prime is 42470887651. The next prime is 42470887699. The reversal of 42470887680 is 8678807424.

It is a happy number.

42470887680 is a `hidden beast` number, since 424 + 70 + 8 + 8 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402015 + ... + 496545.

Almost surely, 2^42470887680 is an apocalyptic number.

42470887680 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 42470887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81153831360).

42470887680 is an abundant number, since it is smaller than the sum of its proper divisors (119836775040).

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

42470887680 is a wasteful number, since it uses less digits than its factorization.

42470887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94574 (or 94554 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 42470887680 in words is "forty-two billion, four hundred seventy million, eight hundred eighty-seven thousand, six hundred eighty".