6623148646400 has 1344 divisors, whose sum is σ = 20899274610816. Its totient is φ = 2044723200000.

The previous prime is 6623148646399. The next prime is 6623148646469. The reversal of 6623148646400 is 46468413266.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26387046275 + ... + 26387046525.

It is an arithmetic number, because the mean of its divisors is an integer number (15550055514).

Almost surely, 2^{6623148646400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6623148646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10449637305408).

6623148646400 is an abundant number, since it is smaller than the sum of its proper divisors (14276125964416).

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

6623148646400 is a wasteful number, since it uses less digits than its factorization.

6623148646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 50.

The spelling of 6623148646400 in words is "six trillion, six hundred twenty-three billion, one hundred forty-eight million, six hundred forty-six thousand, four hundred".