1916640640800 has 1152 divisors, whose sum is σ = 7566978182400. Its totient is φ = 466530140160.

The previous prime is 1916640640777. The next prime is 1916640640867. The reversal of 1916640640800 is 80460466191.

1916640640800 is a `hidden beast` number, since 1 + 9 + 166 + 406 + 4 + 0 + 80 + 0 = 666.

It is a super-2 number, since 2×1916640640800² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1715881842 + ... + 1715882958.

It is an arithmetic number, because the mean of its divisors is an integer number (6568557450).

Almost surely, 2^{1916640640800} is an apocalyptic number.

1916640640800 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 1916640640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783489091200).

1916640640800 is an abundant number, since it is smaller than the sum of its proper divisors (5650337541600).

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

1916640640800 is a wasteful number, since it uses less digits than its factorization.

1916640640800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1916640640800 in words is "one trillion, nine hundred sixteen billion, six hundred forty million, six hundred forty thousand, eight hundred".