68584550040 has 640 divisors, whose sum is σ = 254083737600. Its totient is φ = 16527421440.

The previous prime is 68584550039. The next prime is 68584550053. The reversal of 68584550040 is 4005548586.

68584550040 is a `hidden beast` number, since 6 + 8 + 58 + 4 + 550 + 0 + 40 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 159 ways as a sum of consecutive naturals, for example, 158393664 + ... + 158394096.

It is an arithmetic number, because the mean of its divisors is an integer number (397005840).

Almost surely, 2^68584550040 is an apocalyptic number.

68584550040 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 68584550040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127041868800).

68584550040 is an abundant number, since it is smaller than the sum of its proper divisors (185499187560).

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

68584550040 is a wasteful number, since it uses less digits than its factorization.

68584550040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 68584550040 in words is "sixty-eight billion, five hundred eighty-four million, five hundred fifty thousand, forty".