287392642640 has 160 divisors (see below), whose sum is σ = 723370784640. Its totient is φ = 105815808000.

The previous prime is 287392642637. The next prime is 287392642709. The reversal of 287392642640 is 46246293782.

It is a happy number.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45607490 + ... + 45613790.

It is an arithmetic number, because the mean of its divisors is an integer number (4521067404).

Almost surely, 2^287392642640 is an apocalyptic number.

287392642640 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 287392642640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361685392320).

287392642640 is an abundant number, since it is smaller than the sum of its proper divisors (435978142000).

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

287392642640 is a wasteful number, since it uses less digits than its factorization.

287392642640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7181 (or 7175 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 53.

The spelling of 287392642640 in words is "two hundred eighty-seven billion, three hundred ninety-two million, six hundred forty-two thousand, six hundred forty".