544514407680 has 288 divisors, whose sum is σ = 1791352442880. Its totient is φ = 140881305600.

The previous prime is 544514407673. The next prime is 544514407699. The reversal of 544514407680 is 86704415445.

It is a super-2 number, since 2×544514407680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 24922201 + ... + 24944039.

It is an arithmetic number, because the mean of its divisors is an integer number (6219973760).

Almost surely, 2^544514407680 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 544514407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895676221440).

544514407680 is an abundant number, since it is smaller than the sum of its proper divisors (1246838035200).

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

544514407680 is a wasteful number, since it uses less digits than its factorization.

544514407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22057 (or 22043 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 48.

The spelling of 544514407680 in words is "five hundred forty-four billion, five hundred fourteen million, four hundred seven thousand, six hundred eighty".