42737185480770 has 256 divisors, whose sum is σ = 126095581163520. Its totient is φ = 10213136640000.

The previous prime is 42737185480741. The next prime is 42737185480789. The reversal of 42737185480770 is 7708458173724.

42737185480770 is a `hidden beast` number, since 4 + 2 + 7 + 3 + 7 + 1 + 85 + 480 + 7 + 70 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42737185480698 and 42737185480707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2406228690 + ... + 2406246450.

It is an arithmetic number, because the mean of its divisors is an integer number (492560863920).

Almost surely, 2^{42737185480770} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42737185480770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63047790581760).

42737185480770 is an abundant number, since it is smaller than the sum of its proper divisors (83358395682750).

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

42737185480770 is a wasteful number, since it uses less digits than its factorization.

42737185480770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29270 (or 29264 counting only the distinct ones).

The product of its (nonzero) digits is 73758720, while the sum is 63.

The spelling of 42737185480770 in words is "forty-two trillion, seven hundred thirty-seven billion, one hundred eighty-five million, four hundred eighty thousand, seven hundred seventy".