197766760464 has 300 divisors, whose sum is σ = 717068482284. Its totient is φ = 52158048768.

The previous prime is 197766760463. The next prime is 197766760487. The reversal of 197766760464 is 464067667791.

197766760464 is a `hidden beast` number, since 19 + 7 + 7 + 6 + 6 + 7 + 604 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40237150464 + 157529610000 = 200592^2 + 396900^2 .

It is a super-2 number, since 2×197766760464² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (197766760463) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 705774 + ... + 945330.

Almost surely, 2^197766760464 is an apocalyptic number.

197766760464 is a gapful number since it is divisible by the number (14) 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 197766760464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358534241142).

197766760464 is an abundant number, since it is smaller than the sum of its proper divisors (519301721820).

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

197766760464 is a wasteful number, since it uses less digits than its factorization.

197766760464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239604 (or 239582 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 197766760464 in words is "one hundred ninety-seven billion, seven hundred sixty-six million, seven hundred sixty thousand, four hundred sixty-four".