68254024320 has 384 divisors, whose sum is σ = 249892231680. Its totient is φ = 17136230400.

The previous prime is 68254024303. The next prime is 68254024343. The reversal of 68254024320 is 2342045286.

68254024320 is a `hidden beast` number, since 6 + 82 + 540 + 2 + 4 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×68254024320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6601555 + ... + 6611885.

It is an arithmetic number, because the mean of its divisors is an integer number (650761020).

Almost surely, 2^68254024320 is an apocalyptic number.

68254024320 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 68254024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124946115840).

68254024320 is an abundant number, since it is smaller than the sum of its proper divisors (181638207360).

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

68254024320 is a wasteful number, since it uses less digits than its factorization.

68254024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10424 (or 10409 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 68254024320 in words is "sixty-eight billion, two hundred fifty-four million, twenty-four thousand, three hundred twenty".