67407987887520 has 384 divisors, whose sum is σ = 246887591086080. Its totient is φ = 15139901583360.

The previous prime is 67407987887491. The next prime is 67407987887521. The reversal of 67407987887520 is 2578878970476.

It is not an unprimeable number, because it can be changed into a prime (67407987887521) 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, 469955334 + ... + 470098746.

It is an arithmetic number, because the mean of its divisors is an integer number (642936435120).

Almost surely, 2^{67407987887520} is an apocalyptic number.

67407987887520 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 67407987887520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123443795543040).

67407987887520 is an abundant number, since it is smaller than the sum of its proper divisors (179479603198560).

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

67407987887520 is a wasteful number, since it uses less digits than its factorization.

67407987887520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145868 (or 145860 counting only the distinct ones).

The product of its (nonzero) digits is 2655313920, while the sum is 78.

The spelling of 67407987887520 in words is "sixty-seven trillion, four hundred seven billion, nine hundred eighty-seven million, eight hundred eighty-seven thousand, five hundred twenty".