1963342080 has 432 divisors, whose sum is σ = 7874665344. Its totient is φ = 442368000.

The previous prime is 1963342061. The next prime is 1963342091. The reversal of 1963342080 is 802433691.

1963342080 is a `hidden beast` number, since 19 + 633 + 4 + 2 + 0 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7821955 + ... + 7822205.

It is an arithmetic number, because the mean of its divisors is an integer number (18228392).

Almost surely, 2^1963342080 is an apocalyptic number.

1963342080 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 1963342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937332672).

1963342080 is an abundant number, since it is smaller than the sum of its proper divisors (5911323264).

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

1963342080 is a wasteful number, since it uses less digits than its factorization.

1963342080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1963342080 is about 44309.6161120811. The cubic root of 1963342080 is about 1252.1758540630.

The spelling of 1963342080 in words is "one billion, nine hundred sixty-three million, three hundred forty-two thousand, eighty".