540576674235400 has 384 divisors, whose sum is σ = 1503993548252160. Its totient is φ = 178395660288000.

The previous prime is 540576674235397. The next prime is 540576674235401. The reversal of 540576674235400 is 4532476675045.

It is a super-3 number, since 3×540576674235400³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (540576674235401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 320312184 + ... + 321995416.

It is an arithmetic number, because the mean of its divisors is an integer number (3916649865240).

Almost surely, 2^{540576674235400} is an apocalyptic number.

540576674235400 is a gapful number since it is divisible by the number (50) 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 540576674235400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751996774126080).

540576674235400 is an abundant number, since it is smaller than the sum of its proper divisors (963416874016760).

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

540576674235400 is a wasteful number, since it uses less digits than its factorization.

540576674235400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683585 (or 1683576 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 58.

The spelling of 540576674235400 in words is "five hundred forty trillion, five hundred seventy-six billion, six hundred seventy-four million, two hundred thirty-five thousand, four hundred".