1006674739200 has 1152 divisors, whose sum is σ = 4037653292400. Its totient is φ = 247159848960.

The previous prime is 1006674739157. The next prime is 1006674739241. The reversal of 1006674739200 is 29374766001.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2587852606 + ... + 2587852994.

Almost surely, 2^{1006674739200} is an apocalyptic number.

1006674739200 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 1006674739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018826646200).

1006674739200 is an abundant number, since it is smaller than the sum of its proper divisors (3030978553200).

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

1006674739200 is an frugal number, since it uses more digits than its factorization.

1006674739200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 1006674739200 in words is "one trillion, six billion, six hundred seventy-four million, seven hundred thirty-nine thousand, two hundred".