10342787616 has 288 divisors, whose sum is σ = 35135493120. Its totient is φ = 2931676416.

The previous prime is 10342787603. The next prime is 10342787639. The reversal of 10342787616 is 61678724301.

10342787616 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 27 + 8 + 7 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 7565365 + ... + 7566731.

It is an arithmetic number, because the mean of its divisors is an integer number (121998240).

Almost surely, 2^10342787616 is an apocalyptic number.

10342787616 is a gapful number since it is divisible by the number (16) 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 10342787616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17567746560).

10342787616 is an abundant number, since it is smaller than the sum of its proper divisors (24792705504).

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

10342787616 is a wasteful number, since it uses less digits than its factorization.

10342787616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 10342787616 in words is "ten billion, three hundred forty-two million, seven hundred eighty-seven thousand, six hundred sixteen".