647040738399552 has 1344 divisors, whose sum is σ = 2353068478365696. Its totient is φ = 172081899601920.

The previous prime is 647040738399413. The next prime is 647040738399641. The reversal of 647040738399552 is 255993837040746.

It is a happy number.

647040738399552 is a `hidden beast` number, since 6 + 4 + 7 + 0 + 4 + 0 + 7 + 38 + 39 + 9 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×647040738399552³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77797367298 + ... + 77797375614.

It is an arithmetic number, because the mean of its divisors is an integer number (1750794998784).

Almost surely, 2^{647040738399552} 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 647040738399552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176534239182848).

647040738399552 is an abundant number, since it is smaller than the sum of its proper divisors (1706027739966144).

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

647040738399552 is a wasteful number, since it uses less digits than its factorization.

647040738399552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8826 (or 8804 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 72.

The spelling of 647040738399552 in words is "six hundred forty-seven trillion, forty billion, seven hundred thirty-eight million, three hundred ninety-nine thousand, five hundred fifty-two".