197781502464 has 720 divisors, whose sum is σ = 730647485568. Its totient is φ = 52081532928.

The previous prime is 197781502463. The next prime is 197781502469. The reversal of 197781502464 is 464205187791.

197781502464 is a `hidden beast` number, since 1 + 9 + 7 + 78 + 1 + 502 + 4 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 197781502464.

It is not an unprimeable number, because it can be changed into a prime (197781502463) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 305689789 + ... + 305690435.

Almost surely, 2^197781502464 is an apocalyptic number.

197781502464 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 197781502464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365323742784).

197781502464 is an abundant number, since it is smaller than the sum of its proper divisors (532865983104).

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

197781502464 is an frugal number, since it uses more digits than its factorization.

197781502464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 197781502464 in words is "one hundred ninety-seven billion, seven hundred eighty-one million, five hundred two thousand, four hundred sixty-four".