1997103064320 has 2304 divisors, whose sum is σ = 9098514432000. Its totient is φ = 403641335808.

The previous prime is 1997103064309. The next prime is 1997103064351. The reversal of 1997103064320 is 234603017991.

1997103064320 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 10 + 306 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 255 ways as a sum of consecutive naturals, for example, 8720973966 + ... + 8720974194.

It is an arithmetic number, because the mean of its divisors is an integer number (3949008000).

Almost surely, 2^{1997103064320} is an apocalyptic number.

1997103064320 is a gapful number since it is divisible by the number (10) 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 1997103064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4549257216000).

1997103064320 is an abundant number, since it is smaller than the sum of its proper divisors (7101411367680).

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

1997103064320 is a wasteful number, since it uses less digits than its factorization.

1997103064320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 1997103064320 in words is "one trillion, nine hundred ninety-seven billion, one hundred three million, sixty-four thousand, three hundred twenty".