32007144960 has 360 divisors, whose sum is σ = 128952210816. Its totient is φ = 7315660800.

The previous prime is 32007144959. The next prime is 32007144971. The reversal of 32007144960 is 6944170023.

32007144960 is a `hidden beast` number, since 3 + 200 + 7 + 1 + 449 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1114785 + ... + 1143135.

Almost surely, 2^32007144960 is an apocalyptic number.

32007144960 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 32007144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64476105408).

32007144960 is an abundant number, since it is smaller than the sum of its proper divisors (96945065856).

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

32007144960 is a wasteful number, since it uses less digits than its factorization.

32007144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28394 (or 28368 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 32007144960 in words is "thirty-two billion, seven million, one hundred forty-four thousand, nine hundred sixty".