316986721920 has 1280 divisors, whose sum is σ = 1377189475200. Its totient is φ = 68478566400.

The previous prime is 316986721913. The next prime is 316986721921. The reversal of 316986721920 is 29127689613.

316986721920 is a `hidden beast` number, since 316 + 98 + 6 + 7 + 219 + 20 = 666.

It is a super-3 number, since 3×316986721920³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (316986721921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 184186660 + ... + 184188380.

Almost surely, 2^316986721920 is an apocalyptic number.

316986721920 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 316986721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688594737600).

316986721920 is an abundant number, since it is smaller than the sum of its proper divisors (1060202753280).

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

316986721920 is a wasteful number, since it uses less digits than its factorization.

316986721920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 316986721920 in words is "three hundred sixteen billion, nine hundred eighty-six million, seven hundred twenty-one thousand, nine hundred twenty".