2067610406400 has 2880 divisors, whose sum is σ = 9774139415040. Its totient is φ = 420426547200.

The previous prime is 2067610406341. The next prime is 2067610406417. The reversal of 2067610406400 is 46040167602.

2067610406400 is a `hidden beast` number, since 2 + 0 + 6 + 7 + 6 + 1 + 0 + 4 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21315571152 + ... + 21315571248.

It is an arithmetic number, because the mean of its divisors is an integer number (3393798408).

Almost surely, 2^{2067610406400} is an apocalyptic number.

2067610406400 is a gapful number since it is divisible by the number (20) 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 2067610406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4887069707520).

2067610406400 is an abundant number, since it is smaller than the sum of its proper divisors (7706529008640).

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

2067610406400 is an equidigital number, since it uses as much as digits as its factorization.

2067610406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 2067610406400 in words is "two trillion, sixty-seven billion, six hundred ten million, four hundred six thousand, four hundred".