3566415666240 has 1568 divisors, whose sum is σ = 15197872250880. Its totient is φ = 779556814848.

The previous prime is 3566415666239. The next prime is 3566415666251. The reversal of 3566415666240 is 426665146653.

3566415666240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 223 ways as a sum of consecutive naturals, for example, 6014191384 + ... + 6014191976.

Almost surely, 2^{3566415666240} is an apocalyptic number.

3566415666240 is a gapful number since it is divisible by the number (30) 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 3566415666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7598936125440).

3566415666240 is an abundant number, since it is smaller than the sum of its proper divisors (11631456584640).

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

3566415666240 is a wasteful number, since it uses less digits than its factorization.

3566415666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 3566415666240 in words is "three trillion, five hundred sixty-six billion, four hundred fifteen million, six hundred sixty-six thousand, two hundred forty".