32748618240 has 480 divisors, whose sum is σ = 126117927936. Its totient is φ = 7798947840.

The previous prime is 32748618229. The next prime is 32748618269. The reversal of 32748618240 is 4281684723.

It is a happy number.

32748618240 is a `hidden beast` number, since 3 + 2 + 7 + 4 + 8 + 618 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 9283357 + ... + 9286883.

Almost surely, 2^32748618240 is an apocalyptic number.

32748618240 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 32748618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63058963968).

32748618240 is an abundant number, since it is smaller than the sum of its proper divisors (93369309696).

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

32748618240 is a wasteful number, since it uses less digits than its factorization.

32748618240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3600 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 32748618240 in words is "thirty-two billion, seven hundred forty-eight million, six hundred eighteen thousand, two hundred forty".