6669629366400 has 4608 divisors, whose sum is σ = 35004159590400. Its totient is φ = 1162543104000.

The previous prime is 6669629366371. The next prime is 6669629366551. The reversal of 6669629366400 is 46639269666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 15192777381 + ... + 15192777819.

It is an arithmetic number, because the mean of its divisors is an integer number (7596388800).

Almost surely, 2^{6669629366400} is an apocalyptic number.

6669629366400 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 6669629366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17502079795200).

6669629366400 is an abundant number, since it is smaller than the sum of its proper divisors (28334530224000).

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

6669629366400 is a wasteful number, since it uses less digits than its factorization.

6669629366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 90699264, while the sum is 63.

The spelling of 6669629366400 in words is "six trillion, six hundred sixty-nine billion, six hundred twenty-nine million, three hundred sixty-six thousand, four hundred".