68187436416 has 256 divisors, whose sum is σ = 219932236800. Its totient is φ = 20626237440.

The previous prime is 68187436411. The next prime is 68187436423. The reversal of 68187436416 is 61463478186.

68187436416 is a `hidden beast` number, since 6 + 8 + 187 + 43 + 6 + 416 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68187436411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27864505 + ... + 27866951.

It is an arithmetic number, because the mean of its divisors is an integer number (859110300).

Almost surely, 2^68187436416 is an apocalyptic number.

68187436416 is a gapful number since it is divisible by the number (66) 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 68187436416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109966118400).

68187436416 is an abundant number, since it is smaller than the sum of its proper divisors (151744800384).

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

68187436416 is a wasteful number, since it uses less digits than its factorization.

68187436416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 3196 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 68187436416 in words is "sixty-eight billion, one hundred eighty-seven million, four hundred thirty-six thousand, four hundred sixteen".