232787761920 has 1728 divisors, whose sum is σ = 1054735395840. Its totient is φ = 47453700096.

The previous prime is 232787761891. The next prime is 232787761961. The reversal of 232787761920 is 29167787232.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 2175586507 + ... + 2175586613.

It is an arithmetic number, because the mean of its divisors is an integer number (610379280).

Almost surely, 2^232787761920 is an apocalyptic number.

232787761920 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 232787761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527367697920).

232787761920 is an abundant number, since it is smaller than the sum of its proper divisors (821947633920).

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

232787761920 is a wasteful number, since it uses less digits than its factorization.

232787761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 232787761920 in words is "two hundred thirty-two billion, seven hundred eighty-seven million, seven hundred sixty-one thousand, nine hundred twenty".