233982996480 has 624 divisors, whose sum is σ = 856532214720. Its totient is φ = 58963525632.

The previous prime is 233982996463. The next prime is 233982996493. The reversal of 233982996480 is 84699289332.

233982996480 is a `hidden beast` number, since 2 + 339 + 8 + 299 + 6 + 4 + 8 + 0 = 666.

It is a super-3 number, since 3×233982996480³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411217636 + ... + 411218204.

It is an arithmetic number, because the mean of its divisors is an integer number (1372647780).

Almost surely, 2^233982996480 is an apocalyptic number.

233982996480 is a gapful number since it is divisible by the number (20) 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 233982996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428266107360).

233982996480 is an abundant number, since it is smaller than the sum of its proper divisors (622549218240).

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

233982996480 is a wasteful number, since it uses less digits than its factorization.

233982996480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 233982996480 in words is "two hundred thirty-three billion, nine hundred eighty-two million, nine hundred ninety-six thousand, four hundred eighty".