319460480640 has 384 divisors, whose sum is σ = 1291484113920. Its totient is φ = 71238205440.

The previous prime is 319460480639. The next prime is 319460480653. The reversal of 319460480640 is 46084064913.

319460480640 is a `hidden beast` number, since 31 + 9 + 4 + 604 + 8 + 0 + 6 + 4 + 0 = 666.

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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1556497 + ... + 1749743.

It is an arithmetic number, because the mean of its divisors is an integer number (3363239880).

Almost surely, 2^319460480640 is an apocalyptic number.

319460480640 is a gapful number since it is divisible by the number (30) 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 319460480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645742056960).

319460480640 is an abundant number, since it is smaller than the sum of its proper divisors (972023633280).

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

319460480640 is a wasteful number, since it uses less digits than its factorization.

319460480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193320 (or 193305 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 319460480640 in words is "three hundred nineteen billion, four hundred sixty million, four hundred eighty thousand, six hundred forty".