6340644363264 has 352 divisors, whose sum is σ = 18535917367296. Its totient is φ = 1918339645440.

The previous prime is 6340644363199. The next prime is 6340644363293. The reversal of 6340644363264 is 4623634460436.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 474343909 + ... + 474357275.

Almost surely, 2^{6340644363264} is an apocalyptic number.

6340644363264 is a gapful number since it is divisible by the number (64) 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 6340644363264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9267958683648).

6340644363264 is an abundant number, since it is smaller than the sum of its proper divisors (12195273004032).

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

6340644363264 is a wasteful number, since it uses less digits than its factorization.

6340644363264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13731 (or 13713 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 51.

The spelling of 6340644363264 in words is "six trillion, three hundred forty billion, six hundred forty-four million, three hundred sixty-three thousand, two hundred sixty-four".