32061806000640 has 1920 divisors, whose sum is σ = 128640286494720. Its totient is φ = 7602888572928.

The previous prime is 32061806000639. The next prime is 32061806000689. The reversal of 32061806000640 is 4600060816023.

32061806000640 is a `hidden beast` number, since 3 + 2 + 0 + 6 + 1 + 8 + 0 + 6 + 0 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×32061806000640² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 32061806000595 and 32061806000604.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25466088331 + ... + 25466089589.

It is an arithmetic number, because the mean of its divisors is an integer number (67000149216).

Almost surely, 2^{32061806000640} is an apocalyptic number.

32061806000640 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 32061806000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64320143247360).

32061806000640 is an abundant number, since it is smaller than the sum of its proper divisors (96578480494080).

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

32061806000640 is a wasteful number, since it uses less digits than its factorization.

32061806000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 32061806000640 its reverse (4600060816023), we get a palindrome (36661866816663).

The spelling of 32061806000640 in words is "thirty-two trillion, sixty-one billion, eight hundred six million, six hundred forty", and thus it is an aban number.