7388009201664 has 864 divisors, whose sum is σ = 27251966851200. Its totient is φ = 1947721531392.

The previous prime is 7388009201641. The next prime is 7388009201689. The reversal of 7388009201664 is 4661029008837.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 7388009201664.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2898393862 + ... + 2898396410.

It is an arithmetic number, because the mean of its divisors is an integer number (31541628300).

Almost surely, 2^{7388009201664} 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 7388009201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13625983425600).

7388009201664 is an abundant number, since it is smaller than the sum of its proper divisors (19863957649536).

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

7388009201664 is an frugal number, since it uses more digits than its factorization.

7388009201664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 7388009201664 in words is "seven trillion, three hundred eighty-eight billion, nine million, two hundred one thousand, six hundred sixty-four".