42854748707680 has 1728 divisors, whose sum is σ = 139282158899520. Its totient is φ = 12370350440448.

The previous prime is 42854748707633. The next prime is 42854748707713. The reversal of 42854748707680 is 8670784745824.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 110166448926 + ... + 110166449314.

It is an arithmetic number, because the mean of its divisors is an integer number (80603101215).

Almost surely, 2^{42854748707680} is an apocalyptic number.

42854748707680 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 42854748707680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69641079449760).

42854748707680 is an abundant number, since it is smaller than the sum of its proper divisors (96427410191840).

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

42854748707680 is a wasteful number, since it uses less digits than its factorization.

42854748707680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 674365440, while the sum is 70.

The spelling of 42854748707680 in words is "forty-two trillion, eight hundred fifty-four billion, seven hundred forty-eight million, seven hundred seven thousand, six hundred eighty".