32863127040 has 240 divisors, whose sum is σ = 120510643968. Its totient is φ = 8247902208.

The previous prime is 32863127039. The next prime is 32863127071. The reversal of 32863127040 is 4072136823.

It is a happy number.

32863127040 is a `hidden beast` number, since 328 + 63 + 1 + 270 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 32863126986 and 32863127004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349729 + ... + 433631.

Almost surely, 2^32863127040 is an apocalyptic number.

32863127040 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 32863127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60255321984).

32863127040 is an abundant number, since it is smaller than the sum of its proper divisors (87647516928).

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

32863127040 is a wasteful number, since it uses less digits than its factorization.

32863127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83949 (or 83930 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 32863127040 in words is "thirty-two billion, eight hundred sixty-three million, one hundred twenty-seven thousand, forty".