647553973248 has 1056 divisors, whose sum is σ = 2446338585600. Its totient is φ = 160307085312.

The previous prime is 647553973219. The next prime is 647553973249. The reversal of 647553973248 is 842379355746.

It is a happy number.

647553973248 is a `hidden beast` number, since 6 + 4 + 7 + 5 + 539 + 73 + 24 + 8 = 666.

It is a super-2 number, since 2×647553973248² (a number of 24 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 not an unprimeable number, because it can be changed into a prime (647553973249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1138055908 + ... + 1138056476.

Almost surely, 2^647553973248 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 647553973248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223169292800).

647553973248 is an abundant number, since it is smaller than the sum of its proper divisors (1798784612352).

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

647553973248 is a wasteful number, since it uses less digits than its factorization.

647553973248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 676 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 63.

The spelling of 647553973248 in words is "six hundred forty-seven billion, five hundred fifty-three million, nine hundred seventy-three thousand, two hundred forty-eight".