540367096320 has 400 divisors, whose sum is σ = 1939760811648. Its totient is φ = 143775129600.

The previous prime is 540367096309. The next prime is 540367096327. The reversal of 540367096320 is 23690763045.

540367096320 is a `hidden beast` number, since 5 + 4 + 0 + 3 + 6 + 7 + 0 + 9 + 632 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (540367096327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100981645 + ... + 100986995.

Almost surely, 2^540367096320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540367096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969880405824).

540367096320 is an abundant number, since it is smaller than the sum of its proper divisors (1399393715328).

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

540367096320 is an equidigital number, since it uses as much as digits as its factorization.

540367096320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5873 (or 5848 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 540367096320 in words is "five hundred forty billion, three hundred sixty-seven million, ninety-six thousand, three hundred twenty".