200972346480 has 800 divisors, whose sum is σ = 762110775360. Its totient is φ = 48910417920.

The previous prime is 200972346473. The next prime is 200972346493. The reversal of 200972346480 is 84643279002.

200972346480 is a `hidden beast` number, since 2 + 0 + 0 + 97 + 23 + 464 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 715203940 + ... + 715204220.

Almost surely, 2^200972346480 is an apocalyptic number.

200972346480 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 200972346480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381055387680).

200972346480 is an abundant number, since it is smaller than the sum of its proper divisors (561138428880).

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

200972346480 is a wasteful number, since it uses less digits than its factorization.

200972346480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 200972346480 in words is "two hundred billion, nine hundred seventy-two million, three hundred forty-six thousand, four hundred eighty".