16648006377600 has 1152 divisors, whose sum is σ = 69701807548800. Its totient is φ = 3856838492160.

The previous prime is 16648006377539. The next prime is 16648006377619. The reversal of 16648006377600 is 677360084661.

16648006377600 is a `hidden beast` number, since 1 + 66 + 480 + 0 + 6 + 37 + 76 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×16648006377600² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 324579157 + ... + 324630443.

It is an arithmetic number, because the mean of its divisors is an integer number (60505041275).

Almost surely, 2^{16648006377600} is an apocalyptic number.

16648006377600 is a gapful number since it is divisible by the number (10) 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 16648006377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34850903774400).

16648006377600 is an abundant number, since it is smaller than the sum of its proper divisors (53053801171200).

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

16648006377600 is a wasteful number, since it uses less digits than its factorization.

16648006377600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51367 (or 51327 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 16648006377600 in words is "sixteen trillion, six hundred forty-eight billion, six million, three hundred seventy-seven thousand, six hundred".