287251634672640 has 2112 divisors, whose sum is σ = 1163864400088320. Its totient is φ = 67925164032000.

The previous prime is 287251634672537. The next prime is 287251634672641. The reversal of 287251634672640 is 46276436152782.

287251634672640 is a `hidden beast` number, since 2 + 8 + 7 + 2 + 5 + 163 + 467 + 2 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287251634672641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55550497255 + ... + 55550502425.

Almost surely, 2^{287251634672640} is an apocalyptic number.

287251634672640 is a gapful number since it is divisible by the number (20) 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 287251634672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581932200044160).

287251634672640 is an abundant number, since it is smaller than the sum of its proper divisors (876612765415680).

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

287251634672640 is an equidigital number, since it uses as much as digits as its factorization.

287251634672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5280 (or 5233 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 287251634672640 in words is "two hundred eighty-seven trillion, two hundred fifty-one billion, six hundred thirty-four million, six hundred seventy-two thousand, six hundred forty".