540093926736 has 1280 divisors, whose sum is σ = 2077200384000. Its totient is φ = 132058128384.

The previous prime is 540093926731. The next prime is 540093926783. The reversal of 540093926736 is 637629390045.

540093926736 is a `hidden beast` number, since 5 + 400 + 93 + 92 + 67 + 3 + 6 = 666.

It is a super-2 number, since 2×540093926736² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540093926731) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4779592216 + ... + 4779592328.

It is an arithmetic number, because the mean of its divisors is an integer number (1622812800).

Almost surely, 2^540093926736 is an apocalyptic number.

540093926736 is a gapful number since it is divisible by the number (56) 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 540093926736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038600192000).

540093926736 is an abundant number, since it is smaller than the sum of its proper divisors (1537106457264).

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

540093926736 is a wasteful number, since it uses less digits than its factorization.

540093926736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 540093926736 in words is "five hundred forty billion, ninety-three million, nine hundred twenty-six thousand, seven hundred thirty-six".