542371680 has 192 divisors, whose sum is σ = 1910200320. Its totient is φ = 143728128.

The previous prime is 542371673. The next prime is 542371699. The reversal of 542371680 is 86173245.

542371680 is a `hidden beast` number, since 542 + 37 + 1 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 963079 + ... + 963641.

It is an arithmetic number, because the mean of its divisors is an integer number (9948960).

Almost surely, 2^542371680 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 542371680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955100160).

542371680 is an abundant number, since it is smaller than the sum of its proper divisors (1367828640).

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

542371680 is a wasteful number, since it uses less digits than its factorization.

542371680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 542371680 is about 23288.8745971118. The cubic root of 542371680 is about 815.5157161018.

The spelling of 542371680 in words is "five hundred forty-two million, three hundred seventy-one thousand, six hundred eighty".