68169465000 has 1280 divisors, whose sum is σ = 302303232000. Its totient is φ = 13841280000.

The previous prime is 68169464977. The next prime is 68169465017. The reversal of 68169465000 is 56496186.

68169465000 is a `hidden beast` number, since 6 + 81 + 69 + 4 + 6 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 380834911 + ... + 380835089.

It is an arithmetic number, because the mean of its divisors is an integer number (236174400).

Almost surely, 2^68169465000 is an apocalyptic number.

68169465000 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 68169465000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151151616000).

68169465000 is an abundant number, since it is smaller than the sum of its proper divisors (234133767000).

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

68169465000 is a wasteful number, since it uses less digits than its factorization.

68169465000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 68169465000 in words is "sixty-eight billion, one hundred sixty-nine million, four hundred sixty-five thousand".