42747489607680 has 1680 divisors, whose sum is σ = 181426061279232. Its totient is φ = 9564703948800.

The previous prime is 42747489607679. The next prime is 42747489607727. The reversal of 42747489607680 is 8670698474724.

42747489607680 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 7 + 4 + 8 + 9 + 607 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 42747489607599 and 42747489607608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5218832385 + ... + 5218840575.

Almost surely, 2^{42747489607680} is an apocalyptic number.

42747489607680 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 42747489607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90713030639616).

42747489607680 is an abundant number, since it is smaller than the sum of its proper divisors (138678571671552).

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

42747489607680 is a wasteful number, since it uses less digits than its factorization.

42747489607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8269 (or 8225 counting only the distinct ones).

The product of its (nonzero) digits is 910393344, while the sum is 72.

The spelling of 42747489607680 in words is "forty-two trillion, seven hundred forty-seven billion, four hundred eighty-nine million, six hundred seven thousand, six hundred eighty".