1006733373744 has 60 divisors (see below), whose sum is σ = 3025336523064. Its totient is φ = 287638106112.

The previous prime is 1006733373743. The next prime is 1006733373761. The reversal of 1006733373744 is 4473733376001.

1006733373744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1006733373744³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1006733373693 and 1006733373702.

It is not an unprimeable number, because it can be changed into a prime (1006733373743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214014097 + ... + 214018800.

Almost surely, 2^{1006733373744} is an apocalyptic number.

1006733373744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1006733373744 is an abundant number, since it is smaller than the sum of its proper divisors (2018603149320).

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

1006733373744 is a wasteful number, since it uses less digits than its factorization.

1006733373744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428032922 (or 428032909 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 48.

The spelling of 1006733373744 in words is "one trillion, six billion, seven hundred thirty-three million, three hundred seventy-three thousand, seven hundred forty-four".