68467024080 has 720 divisors, whose sum is σ = 293844335616. Its totient is φ = 13974405120.

The previous prime is 68467024061. The next prime is 68467024081. The reversal of 68467024080 is 8042076486.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68467024081) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26403264 + ... + 26405856.

Almost surely, 2^68467024080 is an apocalyptic number.

68467024080 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 68467024080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146922167808).

68467024080 is an abundant number, since it is smaller than the sum of its proper divisors (225377311536).

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

68467024080 is a wasteful number, since it uses less digits than its factorization.

68467024080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2676 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 68467024080 in words is "sixty-eight billion, four hundred sixty-seven million, twenty-four thousand, eighty".