200074056000 has 1344 divisors, whose sum is σ = 865121886720. Its totient is φ = 40307097600.

The previous prime is 200074055999. The next prime is 200074056011. The reversal of 200074056000 is 650470002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×200074056000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 351623716 + ... + 351624284.

It is an arithmetic number, because the mean of its divisors is an integer number (643691880).

Almost surely, 2^200074056000 is an apocalyptic number.

200074056000 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 200074056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432560943360).

200074056000 is an abundant number, since it is smaller than the sum of its proper divisors (665047830720).

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

200074056000 is a wasteful number, since it uses less digits than its factorization.

200074056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The spelling of 200074056000 in words is "two hundred billion, seventy-four million, fifty-six thousand".