68953376435328 has 2560 divisors, whose sum is σ = 275800453632000. Its totient is φ = 16692247756800.

The previous prime is 68953376435327. The next prime is 68953376435347. The reversal of 68953376435328 is 82353467335986.

68953376435328 is a `hidden beast` number, since 6 + 8 + 9 + 53 + 37 + 6 + 4 + 3 + 532 + 8 = 666.

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

Its product of digits (2351462400) is a multiple of the sum of its prime divisors (450).

It is not an unprimeable number, because it can be changed into a prime (68953376435327) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 326793253143 + ... + 326793253353.

It is an arithmetic number, because the mean of its divisors is an integer number (107734552200).

Almost surely, 2^{68953376435328} is an apocalyptic number.

68953376435328 is a gapful number since it is divisible by the number (68) 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 68953376435328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137900226816000).

68953376435328 is an abundant number, since it is smaller than the sum of its proper divisors (206847077196672).

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

68953376435328 is a wasteful number, since it uses less digits than its factorization.

68953376435328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 450 counting only the distinct ones).

The product of its digits is 2351462400, while the sum is 72.

The spelling of 68953376435328 in words is "sixty-eight trillion, nine hundred fifty-three billion, three hundred seventy-six million, four hundred thirty-five thousand, three hundred twenty-eight".