1006467396480 has 2048 divisors, whose sum is σ = 4580822937600. Its totient is φ = 203206164480.

The previous prime is 1006467396419. The next prime is 1006467396509. The reversal of 1006467396480 is 846937646001.

1006467396480 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 4 + 6 + 73 + 96 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4319602444 + ... + 4319602676.

It is an arithmetic number, because the mean of its divisors is an integer number (2236729950).

Almost surely, 2^{1006467396480} is an apocalyptic number.

1006467396480 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 1006467396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290411468800).

1006467396480 is an abundant number, since it is smaller than the sum of its proper divisors (3574355541120).

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

1006467396480 is a wasteful number, since it uses less digits than its factorization.

1006467396480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 1006467396480 in words is "one trillion, six billion, four hundred sixty-seven million, three hundred ninety-six thousand, four hundred eighty".