42735250237680 has 5120 divisors, whose sum is σ = 224241647616000. Its totient is φ = 7183381708800.

The previous prime is 42735250237633. The next prime is 42735250237681. The reversal of 42735250237680 is 8673205253724.

42735250237680 is a `hidden beast` number, since 4 + 2 + 7 + 3 + 52 + 502 + 3 + 7 + 6 + 80 = 666.

42735250237680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42735250237680² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42735250237681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 29290780791 + ... + 29290782249.

It is an arithmetic number, because the mean of its divisors is an integer number (43797196800).

Almost surely, 2^{42735250237680} is an apocalyptic number.

42735250237680 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 42735250237680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112120823808000).

42735250237680 is an abundant number, since it is smaller than the sum of its proper divisors (181506397378320).

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

42735250237680 is a wasteful number, since it uses less digits than its factorization.

42735250237680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 42735250237680 in words is "forty-two trillion, seven hundred thirty-five billion, two hundred fifty million, two hundred thirty-seven thousand, six hundred eighty".