316377778560 has 256 divisors, whose sum is σ = 1030425477120. Its totient is φ = 82544025600.

The previous prime is 316377778531. The next prime is 316377778567. The reversal of 316377778560 is 65877773613.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 316377778494 and 316377778503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316377778567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22362849 + ... + 22376991.

It is an arithmetic number, because the mean of its divisors is an integer number (4025099520).

Almost surely, 2^316377778560 is an apocalyptic number.

316377778560 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 316377778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515212738560).

316377778560 is an abundant number, since it is smaller than the sum of its proper divisors (714047698560).

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

316377778560 is a wasteful number, since it uses less digits than its factorization.

316377778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14417 (or 14405 counting only the distinct ones).

The product of its (nonzero) digits is 31116960, while the sum is 60.

The spelling of 316377778560 in words is "three hundred sixteen billion, three hundred seventy-seven million, seven hundred seventy-eight thousand, five hundred sixty".