10673045006400 has 1344 divisors, whose sum is σ = 46587552808960. Its totient is φ = 2325484339200.

The previous prime is 10673045006389. The next prime is 10673045006417. The reversal of 10673045006400 is 460054037601.

It is a happy number.

10673045006400 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 3 + 0 + 4 + 5 + 0 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×10673045006400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 628076304 + ... + 628093296.

Almost surely, 2^{10673045006400} is an apocalyptic number.

10673045006400 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 10673045006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23293776404480).

10673045006400 is an abundant number, since it is smaller than the sum of its proper divisors (35914507802560).

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

10673045006400 is a wasteful number, since it uses less digits than its factorization.

10673045006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17129 (or 17108 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 10673045006400 in words is "ten trillion, six hundred seventy-three billion, forty-five million, six thousand, four hundred".