200097130464 has 480 divisors, whose sum is σ = 757380298752. Its totient is φ = 50295168000.

The previous prime is 200097130417. The next prime is 200097130487. The reversal of 200097130464 is 464031790002.

200097130464 is a `hidden beast` number, since 200 + 0 + 97 + 1 + 304 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6170934 + ... + 6203274.

Almost surely, 2^200097130464 is an apocalyptic number.

200097130464 is a gapful number since it is divisible by the number (24) 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 200097130464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378690149376).

200097130464 is an abundant number, since it is smaller than the sum of its proper divisors (557283168288).

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

200097130464 is a wasteful number, since it uses less digits than its factorization.

200097130464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32412 (or 32395 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 200097130464 in words is "two hundred billion, ninety-seven million, one hundred thirty thousand, four hundred sixty-four".