542463972480 has 640 divisors, whose sum is σ = 2066623962480. Its totient is φ = 135123959808.

The previous prime is 542463972437. The next prime is 542463972487. The reversal of 542463972480 is 84279364245.

It is a happy number.

542463972480 is a `hidden beast` number, since 5 + 4 + 2 + 4 + 6 + 397 + 248 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 494523994176 + 47939978304 = 703224^2 + 218952^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×542463972480² (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 not an unprimeable number, because it can be changed into a prime (542463972487) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 120733114 + ... + 120737606.

Almost surely, 2^542463972480 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 542463972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033311981240).

542463972480 is an abundant number, since it is smaller than the sum of its proper divisors (1524159990000).

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

542463972480 is a wasteful number, since it uses less digits than its factorization.

542463972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4678 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 542463972480 in words is "five hundred forty-two billion, four hundred sixty-three million, nine hundred seventy-two thousand, four hundred eighty".