68074309733760 has 3584 divisors, whose sum is σ = 295907033088000. Its totient is φ = 14774708551680.

The previous prime is 68074309733701. The next prime is 68074309733803. The reversal of 68074309733760 is 6733790347086.

68074309733760 is a `hidden beast` number, since 6 + 80 + 7 + 430 + 97 + 3 + 37 + 6 + 0 = 666.

It is a super-2 number, since 2×68074309733760² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 284829747721 + ... + 284829747959.

Almost surely, 2^{68074309733760} is an apocalyptic number.

68074309733760 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 68074309733760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147953516544000).

68074309733760 is an abundant number, since it is smaller than the sum of its proper divisors (227832723354240).

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

68074309733760 is a wasteful number, since it uses less digits than its factorization.

68074309733760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 96018048, while the sum is 63.

The spelling of 68074309733760 in words is "sixty-eight trillion, seventy-four billion, three hundred nine million, seven hundred thirty-three thousand, seven hundred sixty".