288746720640 has 384 divisors, whose sum is σ = 1148237925120. Its totient is φ = 65494241280.

The previous prime is 288746720629. The next prime is 288746720657. The reversal of 288746720640 is 46027647882.

It is a happy number.

288746720640 is a `hidden beast` number, since 28 + 87 + 467 + 20 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5254587 + ... + 5309253.

It is an arithmetic number, because the mean of its divisors is an integer number (2990202930).

Almost surely, 2^288746720640 is an apocalyptic number.

288746720640 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 288746720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574118962560).

288746720640 is an abundant number, since it is smaller than the sum of its proper divisors (859491204480).

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

288746720640 is a wasteful number, since it uses less digits than its factorization.

288746720640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54830 (or 54815 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 288746720640 in words is "two hundred eighty-eight billion, seven hundred forty-six million, seven hundred twenty thousand, six hundred forty".