1997376874560 has 672 divisors, whose sum is σ = 7397870538240. Its totient is φ = 512342433792.

The previous prime is 1997376874459. The next prime is 1997376874631. The reversal of 1997376874560 is 654786737991.

It is a happy number.

1997376874560 is a `hidden beast` number, since 1 + 9 + 97 + 3 + 7 + 6 + 87 + 456 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 660725209 + ... + 660728231.

It is an arithmetic number, because the mean of its divisors is an integer number (11008735920).

Almost surely, 2^{1997376874560} is an apocalyptic number.

1997376874560 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 1997376874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698935269120).

1997376874560 is an abundant number, since it is smaller than the sum of its proper divisors (5400493663680).

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

1997376874560 is a wasteful number, since it uses less digits than its factorization.

1997376874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 72.

The spelling of 1997376874560 in words is "one trillion, nine hundred ninety-seven billion, three hundred seventy-six million, eight hundred seventy-four thousand, five hundred sixty".