180741274560 has 1680 divisors, whose sum is σ = 865015560288. Its totient is φ = 35300966400.

The previous prime is 180741274541. The next prime is 180741274613. The reversal of 180741274560 is 65472147081.

180741274560 is a `hidden beast` number, since 1 + 8 + 0 + 7 + 4 + 12 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 237504580 + ... + 237505340.

Almost surely, 2^180741274560 is an apocalyptic number.

180741274560 is a gapful number since it is divisible by the number (10) 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 180741274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432507780144).

180741274560 is an abundant number, since it is smaller than the sum of its proper divisors (684274285728).

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

180741274560 is a wasteful number, since it uses less digits than its factorization.

180741274560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 180741274560 in words is "one hundred eighty billion, seven hundred forty-one million, two hundred seventy-four thousand, five hundred sixty".