68642309736 has 1536 divisors, whose sum is σ = 286003200000. Its totient is φ = 15088550400.

The previous prime is 68642309693. The next prime is 68642309753. The reversal of 68642309736 is 63790324686.

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 383 ways as a sum of consecutive naturals, for example, 2214268041 + ... + 2214268071.

It is an arithmetic number, because the mean of its divisors is an integer number (186200000).

Almost surely, 2^68642309736 is an apocalyptic number.

68642309736 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 68642309736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143001600000).

68642309736 is an abundant number, since it is smaller than the sum of its proper divisors (217360890264).

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

68642309736 is a wasteful number, since it uses less digits than its factorization.

68642309736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 68642309736 in words is "sixty-eight billion, six hundred forty-two million, three hundred nine thousand, seven hundred thirty-six".