6416164133280 has 1920 divisors, whose sum is σ = 27101806744320. Its totient is φ = 1412489871360.

The previous prime is 6416164133227. The next prime is 6416164133311. The reversal of 6416164133280 is 823314616146.

6416164133280 is a `hidden beast` number, since 6 + 4 + 1 + 616 + 4 + 1 + 3 + 3 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 7316036202 + ... + 7316037078.

It is an arithmetic number, because the mean of its divisors is an integer number (14115524346).

Almost surely, 2^{6416164133280} is an apocalyptic number.

6416164133280 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 6416164133280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13550903372160).

6416164133280 is an abundant number, since it is smaller than the sum of its proper divisors (20685642611040).

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

6416164133280 is a wasteful number, since it uses less digits than its factorization.

6416164133280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 6416164133280 in words is "six trillion, four hundred sixteen billion, one hundred sixty-four million, one hundred thirty-three thousand, two hundred eighty".