1863464956800 has 384 divisors, whose sum is σ = 6490354590720. Its totient is φ = 469161984000.

The previous prime is 1863464956751. The next prime is 1863464956807. The reversal of 1863464956800 is 86594643681.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1863464956807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12125239 + ... + 12277961.

It is an arithmetic number, because the mean of its divisors is an integer number (16901965080).

Almost surely, 2^{1863464956800} is an apocalyptic number.

1863464956800 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 1863464956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245177295360).

1863464956800 is an abundant number, since it is smaller than the sum of its proper divisors (4626889633920).

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

1863464956800 is a wasteful number, since it uses less digits than its factorization.

1863464956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152822 (or 152805 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 1863464956800 in words is "one trillion, eight hundred sixty-three billion, four hundred sixty-four million, nine hundred fifty-six thousand, eight hundred".