1643646090240 has 3696 divisors, whose sum is σ = 8080310113920. Its totient is φ = 316036546560.

The previous prime is 1643646090239. The next prime is 1643646090287. The reversal of 1643646090240 is 420906463461.

1643646090240 is a `hidden beast` number, since 1 + 6 + 4 + 36 + 4 + 609 + 0 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3696).

It is a super-2 number, since 2×1643646090240² (a number of 25 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 335 ways as a sum of consecutive naturals, for example, 38224327659 + ... + 38224327701.

Almost surely, 2^{1643646090240} is an apocalyptic number.

1643646090240 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 1643646090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4040155056960).

1643646090240 is an abundant number, since it is smaller than the sum of its proper divisors (6436664023680).

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

1643646090240 is a wasteful number, since it uses less digits than its factorization.

1643646090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 1643646090240 in words is "one trillion, six hundred forty-three billion, six hundred forty-six million, ninety thousand, two hundred forty".