67298463498240 has 960 divisors, whose sum is σ = 258291807016320. Its totient is φ = 16526585364480.

The previous prime is 67298463498197. The next prime is 67298463498247. The reversal of 67298463498240 is 4289436489276.

67298463498240 is a `hidden beast` number, since 6 + 7 + 2 + 9 + 8 + 463 + 49 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (67298463498247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13255554582 + ... + 13255559658.

It is an arithmetic number, because the mean of its divisors is an integer number (269053965642).

Almost surely, 2^{67298463498240} is an apocalyptic number.

67298463498240 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 67298463498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129145903508160).

67298463498240 is an abundant number, since it is smaller than the sum of its proper divisors (190993343518080).

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

67298463498240 is a wasteful number, since it uses less digits than its factorization.

67298463498240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5593 (or 5561 counting only the distinct ones).

The product of its (nonzero) digits is 1003290624, while the sum is 72.

The spelling of 67298463498240 in words is "sixty-seven trillion, two hundred ninety-eight billion, four hundred sixty-three million, four hundred ninety-eight thousand, two hundred forty".