4542349855680 has 672 divisors, whose sum is σ = 19941507715584. Its totient is φ = 958384410624.

The previous prime is 4542349855657. The next prime is 4542349855697. The reversal of 4542349855680 is 865589432454.

4542349855680 is a `hidden beast` number, since 4 + 5 + 4 + 23 + 49 + 8 + 5 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×4542349855680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6755199 + ... + 7397121.

It is an arithmetic number, because the mean of its divisors is an integer number (29674862672).

Almost surely, 2^{4542349855680} is an apocalyptic number.

4542349855680 is a gapful number since it is divisible by the number (40) 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 4542349855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9970753857792).

4542349855680 is an abundant number, since it is smaller than the sum of its proper divisors (15399157859904).

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

4542349855680 is a wasteful number, since it uses less digits than its factorization.

4542349855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641975 (or 641953 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 63.

The spelling of 4542349855680 in words is "four trillion, five hundred forty-two billion, three hundred forty-nine million, eight hundred fifty-five thousand, six hundred eighty".