68430858240 has 384 divisors, whose sum is σ = 227808322560. Its totient is φ = 17517772800.

The previous prime is 68430858239. The next prime is 68430858247. The reversal of 68430858240 is 4285803486.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 68430858240.

It is not an unprimeable number, because it can be changed into a prime (68430858247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172369722 + ... + 172370118.

It is an arithmetic number, because the mean of its divisors is an integer number (593250840).

Almost surely, 2^68430858240 is an apocalyptic number.

68430858240 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 68430858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113904161280).

68430858240 is an abundant number, since it is smaller than the sum of its proper divisors (159377464320).

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

68430858240 is a wasteful number, since it uses less digits than its factorization.

68430858240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 68430858240 in words is "sixty-eight billion, four hundred thirty million, eight hundred fifty-eight thousand, two hundred forty".