197465634938880 has 4032 divisors, whose sum is σ = 937949538359808. Its totient is φ = 37855187435520.

The previous prime is 197465634938879. The next prime is 197465634938893. The reversal of 197465634938880 is 88839436564791.

197465634938880 is a `hidden beast` number, since 1 + 9 + 7 + 4 + 6 + 563 + 49 + 3 + 8 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a self number, because there is not a number n which added to its sum of digits gives 197465634938880.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 179025960409 + ... + 179025961511.

Almost surely, 2^{197465634938880} is an apocalyptic number.

197465634938880 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 197465634938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468974769179904).

197465634938880 is an abundant number, since it is smaller than the sum of its proper divisors (740483903420928).

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

197465634938880 is a wasteful number, since it uses less digits than its factorization.

197465634938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 7524679680, while the sum is 81.

The spelling of 197465634938880 in words is "one hundred ninety-seven trillion, four hundred sixty-five billion, six hundred thirty-four million, nine hundred thirty-eight thousand, eight hundred eighty".