232872004723680 has 2880 divisors, whose sum is σ = 1033861513430592. Its totient is φ = 49037501399040.

The previous prime is 232872004723679. The next prime is 232872004723739. The reversal of 232872004723680 is 86327400278232.

232872004723680 is a `hidden beast` number, since 2 + 3 + 2 + 8 + 7 + 200 + 4 + 72 + 368 + 0 = 666.

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 479 ways as a sum of consecutive naturals, for example, 125132725950 + ... + 125132727810.

Almost surely, 2^{232872004723680} is an apocalyptic number.

232872004723680 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 232872004723680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516930756715296).

232872004723680 is an abundant number, since it is smaller than the sum of its proper divisors (800989508706912).

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

232872004723680 is a wasteful number, since it uses less digits than its factorization.

232872004723680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 232872004723680 in words is "two hundred thirty-two trillion, eight hundred seventy-two billion, four million, seven hundred twenty-three thousand, six hundred eighty".