320475653760 has 256 divisors, whose sum is σ = 1048877424000. Its totient is φ = 83180912640.

The previous prime is 320475653759. The next prime is 320475653789. The reversal of 320475653760 is 67356574023.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35340747 + ... + 35349813.

Almost surely, 2^320475653760 is an apocalyptic number.

320475653760 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 320475653760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524438712000).

320475653760 is an abundant number, since it is smaller than the sum of its proper divisors (728401770240).

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

320475653760 is a wasteful number, since it uses less digits than its factorization.

320475653760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9579 (or 9567 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 48.

The spelling of 320475653760 in words is "three hundred twenty billion, four hundred seventy-five million, six hundred fifty-three thousand, seven hundred sixty".