647214480000 has 2880 divisors, whose sum is σ = 2975088916800. Its totient is φ = 133816320000.

The previous prime is 647214479987. The next prime is 647214480041. The reversal of 647214480000 is 84412746.

647214480000 is a `hidden beast` number, since 647 + 2 + 1 + 4 + 4 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 28139759989 + ... + 28139760011.

It is an arithmetic number, because the mean of its divisors is an integer number (1033016985).

Almost surely, 2^647214480000 is an apocalyptic number.

647214480000 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 647214480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487544458400).

647214480000 is an abundant number, since it is smaller than the sum of its proper divisors (2327874436800).

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

647214480000 is a wasteful number, since it uses less digits than its factorization.

647214480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 647214480000 its reverse (84412746), we get a palindrome (647298892746).

The spelling of 647214480000 in words is "six hundred forty-seven billion, two hundred fourteen million, four hundred eighty thousand".