68794574538240 has 1600 divisors, whose sum is σ = 277483261809600. Its totient is φ = 16187186479104.

The previous prime is 68794574538101. The next prime is 68794574538251. The reversal of 68794574538240 is 4283547549786.

68794574538240 is a `hidden beast` number, since 6 + 8 + 7 + 9 + 4 + 57 + 453 + 82 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6496790866 + ... + 6496801454.

It is an arithmetic number, because the mean of its divisors is an integer number (173427038631).

Almost surely, 2^{68794574538240} is an apocalyptic number.

68794574538240 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 68794574538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138741630904800).

68794574538240 is an abundant number, since it is smaller than the sum of its proper divisors (208688687271360).

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

68794574538240 is a wasteful number, since it uses less digits than its factorization.

68794574538240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10757 (or 10732 counting only the distinct ones).

The product of its (nonzero) digits is 1625702400, while the sum is 72.

The spelling of 68794574538240 in words is "sixty-eight trillion, seven hundred ninety-four billion, five hundred seventy-four million, five hundred thirty-eight thousand, two hundred forty".