32164511661360 has 480 divisors, whose sum is σ = 120731015845440. Its totient is φ = 7911233224704.

The previous prime is 32164511661313. The next prime is 32164511661397. The reversal of 32164511661360 is 6316611546123.

32164511661360 is a `hidden beast` number, since 3 + 2 + 1 + 6 + 4 + 511 + 66 + 13 + 60 = 666.

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 95 ways as a sum of consecutive naturals, for example, 327728776 + ... + 327826904.

It is an arithmetic number, because the mean of its divisors is an integer number (251522949678).

Almost surely, 2^{32164511661360} is an apocalyptic number.

32164511661360 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 32164511661360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60365507922720).

32164511661360 is an abundant number, since it is smaller than the sum of its proper divisors (88566504184080).

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

32164511661360 is a wasteful number, since it uses less digits than its factorization.

32164511661360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99467 (or 99449 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 32164511661360 in words is "thirty-two trillion, one hundred sixty-four billion, five hundred eleven million, six hundred sixty-one thousand, three hundred sixty".