32265948240 has 400 divisors, whose sum is σ = 116331173376. Its totient is φ = 8314099200.

The previous prime is 32265948233. The next prime is 32265948251. The reversal of 32265948240 is 4284956223.

32265948240 is a `hidden beast` number, since 32 + 2 + 6 + 594 + 8 + 24 + 0 = 666.

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, 48813510 + ... + 48814170.

Almost surely, 2^32265948240 is an apocalyptic number.

32265948240 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 32265948240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58165586688).

32265948240 is an abundant number, since it is smaller than the sum of its proper divisors (84065225136).

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

32265948240 is an frugal number, since it uses more digits than its factorization.

32265948240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 32265948240 in words is "thirty-two billion, two hundred sixty-five million, nine hundred forty-eight thousand, two hundred forty".