1963082464 has 96 divisors (see below), whose sum is σ = 4538419200. Its totient is φ = 818408448.

The previous prime is 1963082461. The next prime is 1963082519. The reversal of 1963082464 is 4642803691.

It is a happy number.

It is a super-2 number, since 2×1963082464² = 7707385520928622592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1963082464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1963082461) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2094604 + ... + 2095540.

It is an arithmetic number, because the mean of its divisors is an integer number (47275200).

Almost surely, 2^1963082464 is an apocalyptic number.

1963082464 is a gapful number since it is divisible by the number (14) 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 1963082464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269209600).

1963082464 is an abundant number, since it is smaller than the sum of its proper divisors (2575336736).

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

1963082464 is a wasteful number, since it uses less digits than its factorization.

1963082464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The square root of 1963082464 is about 44306.6864479843. The cubic root of 1963082464 is about 1252.1206591958.

The spelling of 1963082464 in words is "one billion, nine hundred sixty-three million, eighty-two thousand, four hundred sixty-four".