1006744590270 has 48 divisors (see below), whose sum is σ = 2678408873712. Its totient is φ = 262221845760.

The previous prime is 1006744590263. The next prime is 1006744590331. The reversal of 1006744590270 is 720954476001.

1006744590270 is a `hidden beast` number, since 10 + 0 + 6 + 7 + 44 + 590 + 2 + 7 + 0 = 666.

It is a super-3 number, since 3×1006744590270³ (a number of 37 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 130066491 + ... + 130074230.

It is an arithmetic number, because the mean of its divisors is an integer number (55800184869).

Almost surely, 2^{1006744590270} is an apocalyptic number.

1006744590270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006744590270 is an abundant number, since it is smaller than the sum of its proper divisors (1671664283442).

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

1006744590270 is a wasteful number, since it uses less digits than its factorization.

1006744590270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260140777 (or 260140774 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 1006744590270 in words is "one trillion, six billion, seven hundred forty-four million, five hundred ninety thousand, two hundred seventy".