10673673677700 has 144 divisors (see below), whose sum is σ = 33691604474304. Its totient is φ = 2587433676800.

The previous prime is 10673673677683. The next prime is 10673673677729. The reversal of 10673673677700 is 777637637601.

It is a super-2 number, since 2×10673673677700² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 47 ways as a sum of consecutive naturals, for example, 82359352 + ... + 82488848.

It is an arithmetic number, because the mean of its divisors is an integer number (233969475516).

Almost surely, 2^{10673673677700} is an apocalyptic number.

10673673677700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10673673677700 is an abundant number, since it is smaller than the sum of its proper divisors (23017930796604).

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

10673673677700 is a wasteful number, since it uses less digits than its factorization.

10673673677700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154502 (or 154495 counting only the distinct ones).

The product of its (nonzero) digits is 32672808, while the sum is 60.

The spelling of 10673673677700 in words is "ten trillion, six hundred seventy-three billion, six hundred seventy-three million, six hundred seventy-seven thousand, seven hundred".