6632508346464 has 3072 divisors, whose sum is σ = 27577114951680. Its totient is φ = 1337720832000.

The previous prime is 6632508346421. The next prime is 6632508346523. The reversal of 6632508346464 is 4646438052366.

It is a super-2 number, since 2×6632508346464² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 58694764072 + ... + 58694764184.

It is an arithmetic number, because the mean of its divisors is an integer number (8976925440).

Almost surely, 2^{6632508346464} 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 6632508346464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13788557475840).

6632508346464 is an abundant number, since it is smaller than the sum of its proper divisors (20944606605216).

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

6632508346464 is a wasteful number, since it uses less digits than its factorization.

6632508346464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 57.

The spelling of 6632508346464 in words is "six trillion, six hundred thirty-two billion, five hundred eight million, three hundred forty-six thousand, four hundred sixty-four".