32268637440 has 720 divisors, whose sum is σ = 126209437200. Its totient is φ = 7824605184.

The previous prime is 32268637399. The next prime is 32268637483. The reversal of 32268637440 is 4473686223.

32268637440 is a `hidden beast` number, since 3 + 2 + 2 + 6 + 8 + 637 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13237883136 + 19030754304 = 115056^2 + 137952^2 .

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 119957626 + ... + 119957894.

It is an arithmetic number, because the mean of its divisors is an integer number (175290885).

Almost surely, 2^32268637440 is an apocalyptic number.

32268637440 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 32268637440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63104718600).

32268637440 is an abundant number, since it is smaller than the sum of its proper divisors (93940799760).

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

32268637440 is a wasteful number, since it uses less digits than its factorization.

32268637440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 32268637440 in words is "thirty-two billion, two hundred sixty-eight million, six hundred thirty-seven thousand, four hundred forty".