320006268540 has 768 divisors, whose sum is σ = 1203019776000. Its totient is φ = 69106452480.

The previous prime is 320006268493. The next prime is 320006268557. The reversal of 320006268540 is 45862600023.

320006268540 is a `hidden beast` number, since 3 + 20 + 0 + 0 + 626 + 8 + 5 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 320006268495 and 320006268504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 722361559 + ... + 722362001.

It is an arithmetic number, because the mean of its divisors is an integer number (1566432000).

Almost surely, 2^320006268540 is an apocalyptic number.

320006268540 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 320006268540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601509888000).

320006268540 is an abundant number, since it is smaller than the sum of its proper divisors (883013507460).

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

320006268540 is a wasteful number, since it uses less digits than its factorization.

320006268540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 320006268540 its reverse (45862600023), we get a palindrome (365868868563).

The spelling of 320006268540 in words is "three hundred twenty billion, six million, two hundred sixty-eight thousand, five hundred forty".