1997374272960 has 896 divisors, whose sum is σ = 7281023385600. Its totient is φ = 459531878400.

The previous prime is 1997374272953. The next prime is 1997374272967. The reversal of 1997374272960 is 692724737991.

It is an interprime number because it is at equal distance from previous prime (1997374272953) and next prime (1997374272967).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 1997374272891 and 1997374272900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1997374272967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4448494816 + ... + 4448495264.

Almost surely, 2^{1997374272960} is an apocalyptic number.

1997374272960 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 1997374272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3640511692800).

1997374272960 is an abundant number, since it is smaller than the sum of its proper divisors (5283649112640).

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

1997374272960 is a wasteful number, since it uses less digits than its factorization.

1997374272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 72013536, while the sum is 66.

The spelling of 1997374272960 in words is "one trillion, nine hundred ninety-seven billion, three hundred seventy-four million, two hundred seventy-two thousand, nine hundred sixty".