316505263868640 has 2880 divisors, whose sum is σ = 1543566609446400. Its totient is φ = 60156678758400.

The previous prime is 316505263868623. The next prime is 316505263868653. The reversal of 316505263868640 is 46868362505613.

316505263868640 is a `hidden beast` number, since 3 + 1 + 6 + 5 + 0 + 526 + 3 + 8 + 68 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3848936325 + ... + 3849018555.

It is an arithmetic number, because the mean of its divisors is an integer number (535960628280).

Almost surely, 2^{316505263868640} is an apocalyptic number.

316505263868640 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 316505263868640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771783304723200).

316505263868640 is an abundant number, since it is smaller than the sum of its proper divisors (1227061345577760).

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

316505263868640 is a wasteful number, since it uses less digits than its factorization.

316505263868640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82331 (or 82307 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 316505263868640 in words is "three hundred sixteen trillion, five hundred five billion, two hundred sixty-three million, eight hundred sixty-eight thousand, six hundred forty".