200374056960 has 1536 divisors, whose sum is σ = 869518540800. Its totient is φ = 38149816320.

The previous prime is 200374056947. The next prime is 200374056977. The reversal of 200374056960 is 69650473002.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1577748417 + ... + 1577748543.

It is an arithmetic number, because the mean of its divisors is an integer number (566092800).

Almost surely, 2^200374056960 is an apocalyptic number.

200374056960 is a gapful number since it is divisible by the number (20) 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 200374056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434759270400).

200374056960 is an abundant number, since it is smaller than the sum of its proper divisors (669144483840).

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

200374056960 is a wasteful number, since it uses less digits than its factorization.

200374056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 200374056960 in words is "two hundred billion, three hundred seventy-four million, fifty-six thousand, nine hundred sixty".