1067302424880 has 640 divisors, whose sum is σ = 3865432596480. Its totient is φ = 270355968000.

The previous prime is 1067302424873. The next prime is 1067302424893. The reversal of 1067302424880 is 884242037601.

It is a happy number.

It is a super-2 number, since 2×1067302424880² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1005939550 + ... + 1005940610.

It is an arithmetic number, because the mean of its divisors is an integer number (6039738432).

Almost surely, 2^{1067302424880} is an apocalyptic number.

1067302424880 is a gapful number since it is divisible by the number (10) 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 1067302424880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932716298240).

1067302424880 is an abundant number, since it is smaller than the sum of its proper divisors (2798130171600).

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

1067302424880 is a wasteful number, since it uses less digits than its factorization.

1067302424880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1366 counting only the distinct ones).

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

The spelling of 1067302424880 in words is "one trillion, sixty-seven billion, three hundred two million, four hundred twenty-four thousand, eight hundred eighty".