320612535540 has 288 divisors, whose sum is σ = 1097601103872. Its totient is φ = 75075840000.

The previous prime is 320612535469. The next prime is 320612535553. The reversal of 320612535540 is 45535216023.

320612535540 is a `hidden beast` number, since 3 + 2 + 0 + 61 + 2 + 53 + 5 + 540 = 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 = 320612535495 and 320612535504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8179629 + ... + 8218731.

It is an arithmetic number, because the mean of its divisors is an integer number (3811114944).

Almost surely, 2^320612535540 is an apocalyptic number.

320612535540 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 320612535540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548800551936).

320612535540 is an abundant number, since it is smaller than the sum of its proper divisors (776988568332).

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

320612535540 is a wasteful number, since it uses less digits than its factorization.

320612535540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39271 (or 39266 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 320612535540 in words is "three hundred twenty billion, six hundred twelve million, five hundred thirty-five thousand, five hundred forty".