320781706365312 has 1024 divisors, whose sum is σ = 1055366068320000. Its totient is φ = 95451335884800.

The previous prime is 320781706365277. The next prime is 320781706365313. The reversal of 320781706365312 is 213563607187023.

320781706365312 is a `hidden beast` number, since 3 + 2 + 0 + 7 + 8 + 1 + 70 + 6 + 36 + 531 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320781706365313) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 110272156114 + ... + 110272159022.

Almost surely, 2^{320781706365312} is an apocalyptic number.

320781706365312 is a gapful number since it is divisible by the number (32) 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 320781706365312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527683034160000).

320781706365312 is an abundant number, since it is smaller than the sum of its proper divisors (734584361954688).

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

320781706365312 is a wasteful number, since it uses less digits than its factorization.

320781706365312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4100 (or 4082 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 320781706365312 in words is "three hundred twenty trillion, seven hundred eighty-one billion, seven hundred six million, three hundred sixty-five thousand, three hundred twelve".