32472668160 has 576 divisors, whose sum is σ = 117977277600. Its totient is φ = 8252817408.

The previous prime is 32472668159. The next prime is 32472668161. The reversal of 32472668160 is 6186627423.

32472668160 is a `hidden beast` number, since 324 + 7 + 266 + 8 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (32472668159) and next prime (32472668161).

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32472668161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303482827 + ... + 303482933.

Almost surely, 2^32472668160 is an apocalyptic number.

32472668160 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 32472668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58988638800).

32472668160 is an abundant number, since it is smaller than the sum of its proper divisors (85504609440).

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

32472668160 is a wasteful number, since it uses less digits than its factorization.

32472668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 32472668160 in words is "thirty-two billion, four hundred seventy-two million, six hundred sixty-eight thousand, one hundred sixty".