6630964107264 has 384 divisors, whose sum is σ = 23769104486400. Its totient is φ = 1783114629120.

The previous prime is 6630964107241. The next prime is 6630964107301. The reversal of 6630964107264 is 4627014690366.

It is a happy number.

6630964107264 is a `hidden beast` number, since 6 + 6 + 309 + 64 + 10 + 7 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6630964107264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6076369 + ... + 7084079.

It is an arithmetic number, because the mean of its divisors is an integer number (61898709600).

Almost surely, 2^{6630964107264} is an apocalyptic number.

6630964107264 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 6630964107264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11884552243200).

6630964107264 is an abundant number, since it is smaller than the sum of its proper divisors (17138140379136).

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

6630964107264 is a wasteful number, since it uses less digits than its factorization.

6630964107264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007766 (or 1007740 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 6630964107264 in words is "six trillion, six hundred thirty billion, nine hundred sixty-four million, one hundred seven thousand, two hundred sixty-four".