1643216702400 has 2016 divisors, whose sum is σ = 7814233190400. Its totient is φ = 317708697600.

The previous prime is 1643216702371. The next prime is 1643216702423. The reversal of 1643216702400 is 42076123461.

1643216702400 is a `hidden beast` number, since 1 + 64 + 32 + 167 + 0 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×1643216702400² (a number of 25 digits) contains 22 as substring.

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, 771824536 + ... + 771826664.

Almost surely, 2^{1643216702400} is an apocalyptic number.

1643216702400 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 1643216702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3907116595200).

1643216702400 is an abundant number, since it is smaller than the sum of its proper divisors (6171016488000).

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

1643216702400 is a wasteful number, since it uses less digits than its factorization.

1643216702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2209 counting only the distinct ones).

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

The spelling of 1643216702400 in words is "one trillion, six hundred forty-three billion, two hundred sixteen million, seven hundred two thousand, four hundred".