6649072872624 has 240 divisors, whose sum is σ = 22925847776832. Its totient is φ = 1751803379712.

The previous prime is 6649072872571. The next prime is 6649072872641. The reversal of 6649072872624 is 4262782709466.

6649072872624 is a `hidden beast` number, since 6 + 6 + 4 + 90 + 7 + 287 + 262 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12542932 + ... + 13062284.

Almost surely, 2^{6649072872624} 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 6649072872624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11462923888416).

6649072872624 is an abundant number, since it is smaller than the sum of its proper divisors (16276774904208).

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

6649072872624 is a wasteful number, since it uses less digits than its factorization.

6649072872624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520364 (or 520355 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 6649072872624 in words is "six trillion, six hundred forty-nine billion, seventy-two million, eight hundred seventy-two thousand, six hundred twenty-four".