287982420695424 has 3072 divisors, whose sum is σ = 1127895080632320. Its totient is φ = 71108222976000.

The previous prime is 287982420695423. The next prime is 287982420695461. The reversal of 287982420695424 is 424596024289782.

It is a happy number.

287982420695424 is a `hidden beast` number, since 2 + 8 + 7 + 98 + 2 + 4 + 20 + 6 + 95 + 424 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287982420695423) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 479172080724 + ... + 479172081324.

It is an arithmetic number, because the mean of its divisors is an integer number (367153346560).

Almost surely, 2^{287982420695424} is an apocalyptic number.

287982420695424 is a gapful number since it is divisible by the number (24) 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 287982420695424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563947540316160).

287982420695424 is an abundant number, since it is smaller than the sum of its proper divisors (839912659936896).

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

287982420695424 is a wasteful number, since it uses less digits than its factorization.

287982420695424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 287982420695424 in words is "two hundred eighty-seven trillion, nine hundred eighty-two billion, four hundred twenty million, six hundred ninety-five thousand, four hundred twenty-four".