68040762753600 has 2016 divisors, whose sum is σ = 312134592107520. Its totient is φ = 13670392135680.

The previous prime is 68040762753583. The next prime is 68040762753619. The reversal of 68040762753600 is 635726704086.

68040762753600 is a `hidden beast` number, since 6 + 8 + 0 + 4 + 0 + 7 + 6 + 27 + 5 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2774104537 + ... + 2774129063.

It is an arithmetic number, because the mean of its divisors is an integer number (154828666720).

Almost surely, 2^{68040762753600} is an apocalyptic number.

68040762753600 is a gapful number since it is divisible by the number (60) 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 68040762753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156067296053760).

68040762753600 is an abundant number, since it is smaller than the sum of its proper divisors (244093829353920).

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

68040762753600 is a wasteful number, since it uses less digits than its factorization.

68040762753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24677 (or 24659 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 68040762753600 in words is "sixty-eight trillion, forty billion, seven hundred sixty-two million, seven hundred fifty-three thousand, six hundred".