6366627540 has 480 divisors, whose sum is σ = 25886488320. Its totient is φ = 1272029184.

The previous prime is 6366627503. The next prime is 6366627571. The reversal of 6366627540 is 457266636.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2799844 + ... + 2802116.

It is an arithmetic number, because the mean of its divisors is an integer number (53930184).

Almost surely, 2^6366627540 is an apocalyptic number.

6366627540 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 6366627540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12943244160).

6366627540 is an abundant number, since it is smaller than the sum of its proper divisors (19519860780).

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

6366627540 is a wasteful number, since it uses less digits than its factorization.

6366627540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 6366627540 is about 79791.1495092031. The cubic root of 6366627540 is about 1853.4027988242.

The spelling of 6366627540 in words is "six billion, three hundred sixty-six million, six hundred twenty-seven thousand, five hundred forty".