3132641640960 has 1600 divisors, whose sum is σ = 13136129233920. Its totient is φ = 706603253760.

The previous prime is 3132641640913. The next prime is 3132641640983. The reversal of 3132641640960 is 690461462313.

3132641640960 is a `hidden beast` number, since 3 + 132 + 6 + 416 + 40 + 9 + 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 159 ways as a sum of consecutive naturals, for example, 1587754534 + ... + 1587756506.

Almost surely, 2^{3132641640960} is an apocalyptic number.

3132641640960 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 3132641640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6568064616960).

3132641640960 is an abundant number, since it is smaller than the sum of its proper divisors (10003487592960).

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

3132641640960 is a wasteful number, since it uses less digits than its factorization.

3132641640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 3132641640960 in words is "three trillion, one hundred thirty-two billion, six hundred forty-one million, six hundred forty thousand, nine hundred sixty".