424758875143680 has 8640 divisors, whose sum is σ = 2129658860609280. Its totient is φ = 77089878835200.

The previous prime is 424758875143621. The next prime is 424758875143697. The reversal of 424758875143680 is 86341578857424.

424758875143680 is a `hidden beast` number, since 4 + 2 + 4 + 7 + 588 + 7 + 5 + 1 + 4 + 36 + 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 = 424758875143599 and 424758875143608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 5117576808919 + ... + 5117576809001.

It is an arithmetic number, because the mean of its divisors is an integer number (246488294052).

Almost surely, 2^{424758875143680} is an apocalyptic number.

424758875143680 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 424758875143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064829430304640).

424758875143680 is an abundant number, since it is smaller than the sum of its proper divisors (1704899985465600).

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

424758875143680 is a wasteful number, since it uses less digits than its factorization.

424758875143680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1445068800, while the sum is 72.

The spelling of 424758875143680 in words is "four hundred twenty-four trillion, seven hundred fifty-eight billion, eight hundred seventy-five million, one hundred forty-three thousand, six hundred eighty".