542936706372 has 144 divisors (see below), whose sum is σ = 1492838251632. Its totient is φ = 165705154560.

The previous prime is 542936706371. The next prime is 542936706421. The reversal of 542936706372 is 273607639245.

542936706372 is a `hidden beast` number, since 542 + 9 + 3 + 67 + 0 + 6 + 37 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 47230590276 + 495706116096 = 217326^2 + 704064^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (542936706371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8826828 + ... + 8888124.

It is an arithmetic number, because the mean of its divisors is an integer number (10366932303).

Almost surely, 2^542936706372 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 542936706372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746419125816).

542936706372 is an abundant number, since it is smaller than the sum of its proper divisors (949901545260).

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

542936706372 is a wasteful number, since it uses less digits than its factorization.

542936706372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61718 (or 61713 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 542936706372 in words is "five hundred forty-two billion, nine hundred thirty-six million, seven hundred six thousand, three hundred seventy-two".