320946778951488 has 1792 divisors, whose sum is σ = 1069905936384000. Its totient is φ = 93868316688384.

The previous prime is 320946778951457. The next prime is 320946778951499. The reversal of 320946778951488 is 884159877649023.

320946778951488 is a `hidden beast` number, since 3 + 2 + 0 + 9 + 4 + 6 + 7 + 7 + 89 + 51 + 488 = 666.

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, 874514383881 + ... + 874514384247.

It is a 2-persistent number, because it is pandigital, and so is 2⋅320946778951488 = 641893557902976, but 3⋅320946778951488 = 962840336854464 is not.

Almost surely, 2^{320946778951488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320946778951488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534952968192000).

320946778951488 is an abundant number, since it is smaller than the sum of its proper divisors (748959157432512).

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

320946778951488 is a wasteful number, since it uses less digits than its factorization.

320946778951488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 5852528640, while the sum is 81.

The spelling of 320946778951488 in words is "three hundred twenty trillion, nine hundred forty-six billion, seven hundred seventy-eight million, nine hundred fifty-one thousand, four hundred eighty-eight".