540032263680 has 1280 divisors, whose sum is σ = 2273774469120. Its totient is φ = 106157703168.

The previous prime is 540032263609. The next prime is 540032263711. The reversal of 540032263680 is 86362230045.

It is a happy number.

540032263680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 889673937 + ... + 889674543.

It is an arithmetic number, because the mean of its divisors is an integer number (1776386304).

Almost surely, 2^540032263680 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 540032263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136887234560).

540032263680 is an abundant number, since it is smaller than the sum of its proper divisors (1733742205440).

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

540032263680 is a wasteful number, since it uses less digits than its factorization.

540032263680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 540032263680 in words is "five hundred forty billion, thirty-two million, two hundred sixty-three thousand, six hundred eighty".