320675246161920 has 1800 divisors, whose sum is σ = 1299111706591776. Its totient is φ = 75497396502528.

The previous prime is 320675246161871. The next prime is 320675246161931. The reversal of 320675246161920 is 29161642576023.

It is a happy number.

320675246161920 is a `hidden beast` number, since 3 + 2 + 0 + 6 + 7 + 5 + 2 + 4 + 616 + 19 + 2 + 0 = 666.

It is a super-2 number, since 2×320675246161920² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25792260024 + ... + 25792272456.

Almost surely, 2^{320675246161920} is an apocalyptic number.

320675246161920 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 320675246161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649555853295888).

320675246161920 is an abundant number, since it is smaller than the sum of its proper divisors (978436460429856).

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

320675246161920 is a wasteful number, since it uses less digits than its factorization.

320675246161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12527 (or 12479 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 320675246161920 in words is "three hundred twenty trillion, six hundred seventy-five billion, two hundred forty-six million, one hundred sixty-one thousand, nine hundred twenty".