6616326116400 has 1440 divisors, whose sum is σ = 29234616364800. Its totient is φ = 1257248563200.

The previous prime is 6616326116359. The next prime is 6616326116437. The reversal of 6616326116400 is 46116236166.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 287 ways as a sum of consecutive naturals, for example, 916511991 + ... + 916519209.

It is an arithmetic number, because the mean of its divisors is an integer number (20301816920).

Almost surely, 2^{6616326116400} is an apocalyptic number.

6616326116400 is a gapful number since it is divisible by the number (60) 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 6616326116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14617308182400).

6616326116400 is an abundant number, since it is smaller than the sum of its proper divisors (22618290248400).

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

6616326116400 is a wasteful number, since it uses less digits than its factorization.

6616326116400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7387 (or 7369 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 6616326116400 in words is "six trillion, six hundred sixteen billion, three hundred twenty-six million, one hundred sixteen thousand, four hundred".