1006574964120 has 384 divisors, whose sum is σ = 3725337545280. Its totient is φ = 233528832000.

The previous prime is 1006574964089. The next prime is 1006574964137. The reversal of 1006574964120 is 214694756001.

1006574964120 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 574 + 9 + 64 + 12 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8881410 + ... + 8994030.

Almost surely, 2^{1006574964120} is an apocalyptic number.

1006574964120 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 1006574964120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862668772640).

1006574964120 is an abundant number, since it is smaller than the sum of its proper divisors (2718762581160).

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

1006574964120 is a wasteful number, since it uses less digits than its factorization.

1006574964120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112747 (or 112740 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1006574964120 in words is "one trillion, six billion, five hundred seventy-four million, nine hundred sixty-four thousand, one hundred twenty".