6606405792000 has 3456 divisors, whose sum is σ = 30708899020800. Its totient is φ = 1389975552000.

The previous prime is 6606405791989. The next prime is 6606405792031. The reversal of 6606405792000 is 2975046066.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×6606405792000² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 383 ways as a sum of consecutive naturals, for example, 34588511905 + ... + 34588512095.

It is an arithmetic number, because the mean of its divisors is an integer number (8885676800).

Almost surely, 2^{6606405792000} is an apocalyptic number.

6606405792000 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 6606405792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15354449510400).

6606405792000 is an abundant number, since it is smaller than the sum of its proper divisors (24102493228800).

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

6606405792000 is a wasteful number, since it uses less digits than its factorization.

6606405792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 6606405792000 in words is "six trillion, six hundred six billion, four hundred five million, seven hundred ninety-two thousand".