332578068480 has 1200 divisors, whose sum is σ = 1398984546960. Its totient is φ = 75562647552.

The previous prime is 332578068461. The next prime is 332578068491. The reversal of 332578068480 is 84860875233.

332578068480 is a `hidden beast` number, since 3 + 3 + 2 + 578 + 0 + 68 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×332578068480² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1991485357 + ... + 1991485523.

Almost surely, 2^332578068480 is an apocalyptic number.

332578068480 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 332578068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699492273480).

332578068480 is an abundant number, since it is smaller than the sum of its proper divisors (1066406478480).

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

332578068480 is an frugal number, since it uses more digits than its factorization.

332578068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 332578068480 in words is "three hundred thirty-two billion, five hundred seventy-eight million, sixty-eight thousand, four hundred eighty".