68455101075840 has 1792 divisors, whose sum is σ = 263624558281920. Its totient is φ = 16930194849792.

The previous prime is 68455101075827. The next prime is 68455101075859. The reversal of 68455101075840 is 4857010155486.

68455101075840 is a `hidden beast` number, since 6 + 8 + 4 + 5 + 51 + 0 + 1 + 0 + 7 + 584 + 0 = 666.

It is a super-2 number, since 2×68455101075840² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 301564321807 + ... + 301564322033.

Almost surely, 2^{68455101075840} is an apocalyptic number.

68455101075840 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 68455101075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131812279140960).

68455101075840 is an abundant number, since it is smaller than the sum of its proper divisors (195169457206080).

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

68455101075840 is a wasteful number, since it uses less digits than its factorization.

68455101075840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 68455101075840 in words is "sixty-eight trillion, four hundred fifty-five billion, one hundred one million, seventy-five thousand, eight hundred forty".