1319782464 has 672 divisors, whose sum is σ = 5351068800. Its totient is φ = 313528320.

The previous prime is 1319782439. The next prime is 1319782487. The reversal of 1319782464 is 4642879131.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1319782464² = 3483651504563822592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (290304) is a multiple of the sum of its prime factors (168).

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 95 ways as a sum of consecutive naturals, for example, 12108042 + ... + 12108150.

It is an arithmetic number, because the mean of its divisors is an integer number (7962900).

Almost surely, 2^1319782464 is an apocalyptic number.

1319782464 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 1319782464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675534400).

1319782464 is an abundant number, since it is smaller than the sum of its proper divisors (4031286336).

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

1319782464 is a wasteful number, since it uses less digits than its factorization.

1319782464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 145 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 1319782464 is about 36328.8103851475. The cubic root of 1319782464 is about 1096.9010474346.

The spelling of 1319782464 in words is "one billion, three hundred nineteen million, seven hundred eighty-two thousand, four hundred sixty-four".