10673045723340 has 3456 divisors, whose sum is σ = 48661337088000. Its totient is φ = 1864572272640.

The previous prime is 10673045723309. The next prime is 10673045723413. The reversal of 10673045723340 is 4332754037601.

10673045723340 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 3 + 0 + 4 + 572 + 33 + 40 = 666.

It is a super-2 number, since 2×10673045723340² (a number of 27 digits) contains 22 as substring.

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

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 1151 ways as a sum of consecutive naturals, for example, 119921862016 + ... + 119921862104.

It is an arithmetic number, because the mean of its divisors is an integer number (14080248000).

Almost surely, 2^{10673045723340} is an apocalyptic number.

10673045723340 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 10673045723340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24330668544000).

10673045723340 is an abundant number, since it is smaller than the sum of its proper divisors (37988291364660).

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

10673045723340 is a wasteful number, since it uses less digits than its factorization.

10673045723340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 10673045723340 in words is "ten trillion, six hundred seventy-three billion, forty-five million, seven hundred twenty-three thousand, three hundred forty".