10672075814400 has 5400 divisors, whose sum is σ = 54756381498984. Its totient is φ = 2028876595200.

The previous prime is 10672075814327. The next prime is 10672075814443. The reversal of 10672075814400 is 441857027601.

10672075814400 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 20 + 7 + 581 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5400).

It is a super-2 number, since 2×10672075814400² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 94443148744 + ... + 94443148856.

Almost surely, 2^{10672075814400} is an apocalyptic number.

10672075814400 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 10672075814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27378190749492).

10672075814400 is an abundant number, since it is smaller than the sum of its proper divisors (44084305684584).

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

10672075814400 is a wasteful number, since it uses less digits than its factorization.

10672075814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 10672075814400 in words is "ten trillion, six hundred seventy-two billion, seventy-five million, eight hundred fourteen thousand, four hundred".