232778327040 has 704 divisors, whose sum is σ = 949813240320. Its totient is φ = 52960296960.

The previous prime is 232778326939. The next prime is 232778327053. The reversal of 232778327040 is 40723877232.

232778327040 is a `hidden beast` number, since 232 + 77 + 83 + 270 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 283529830 + ... + 283530650.

Almost surely, 2^232778327040 is an apocalyptic number.

232778327040 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 232778327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474906620160).

232778327040 is an abundant number, since it is smaller than the sum of its proper divisors (717034913280).

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

232778327040 is a wasteful number, since it uses less digits than its factorization.

232778327040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 232778327040 in words is "two hundred thirty-two billion, seven hundred seventy-eight million, three hundred twenty-seven thousand, forty".