321473617920 has 1512 divisors, whose sum is σ = 1434779036964. Its totient is φ = 65994227712.

The previous prime is 321473617903. The next prime is 321473617921. The reversal of 321473617920 is 29716374123.

321473617920 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 7 + 3 + 617 + 9 + 20 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 220013531136 + 101460086784 = 469056^2 + 318528^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (321473617921) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8688476142 + ... + 8688476178.

Almost surely, 2^321473617920 is an apocalyptic number.

321473617920 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 321473617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717389518482).

321473617920 is an abundant number, since it is smaller than the sum of its proper divisors (1113305419044).

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

321473617920 is a wasteful number, since it uses less digits than its factorization.

321473617920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 321473617920 in words is "three hundred twenty-one billion, four hundred seventy-three million, six hundred seventeen thousand, nine hundred twenty".