32867800842240 has 2400 divisors, whose sum is σ = 148227518300400. Its totient is φ = 6934744793088.

The previous prime is 32867800842223. The next prime is 32867800842241. The reversal of 32867800842240 is 4224800876823.

32867800842240 is a `hidden beast` number, since 3 + 286 + 7 + 80 + 0 + 8 + 42 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32867800842241) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2528292372474 + ... + 2528292372486.

Almost surely, 2^{32867800842240} is an apocalyptic number.

32867800842240 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 32867800842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74113759150200).

32867800842240 is an abundant number, since it is smaller than the sum of its proper divisors (115359717458160).

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

32867800842240 is an frugal number, since it uses more digits than its factorization.

32867800842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 32867800842240 in words is "thirty-two trillion, eight hundred sixty-seven billion, eight hundred million, eight hundred forty-two thousand, two hundred forty".