32274456480 has 720 divisors, whose sum is σ = 138393674496. Its totient is φ = 6937436160.

The previous prime is 32274456449. The next prime is 32274456481. The reversal of 32274456480 is 8465447223.

It is a happy number.

32274456480 is a `hidden beast` number, since 3 + 2 + 2 + 7 + 4 + 4 + 564 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (32274456481) 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, 26217465 + ... + 26218695.

Almost surely, 2^32274456480 is an apocalyptic number.

32274456480 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 32274456480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69196837248).

32274456480 is an abundant number, since it is smaller than the sum of its proper divisors (106119218016).

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

32274456480 is a wasteful number, since it uses less digits than its factorization.

32274456480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 32274456480 in words is "thirty-two billion, two hundred seventy-four million, four hundred fifty-six thousand, four hundred eighty".