6354339840 has 480 divisors, whose sum is σ = 23403219840. Its totient is φ = 1648263168.

The previous prime is 6354339821. The next prime is 6354339851. The reversal of 6354339840 is 489334536.

6354339840 is a `hidden beast` number, since 63 + 543 + 3 + 9 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×6354339840² = 80755269604422451200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38983599 + ... + 38983761.

It is an arithmetic number, because the mean of its divisors is an integer number (48756708).

Almost surely, 2^6354339840 is an apocalyptic number.

6354339840 is a gapful number since it is divisible by the number (60) 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 6354339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11701609920).

6354339840 is an abundant number, since it is smaller than the sum of its proper divisors (17048880000).

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

6354339840 is a wasteful number, since it uses less digits than its factorization.

6354339840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 6354339840 is about 79714.1131795368. The cubic root of 6354339840 is about 1852.2096645420.

The spelling of 6354339840 in words is "six billion, three hundred fifty-four million, three hundred thirty-nine thousand, eight hundred forty".