201947074560 has 2496 divisors, whose sum is σ = 989198106624. Its totient is φ = 38220595200.

The previous prime is 201947074541. The next prime is 201947074561. The reversal of 201947074560 is 65470749102.

201947074560 is a `hidden beast` number, since 2 + 0 + 19 + 4 + 7 + 0 + 74 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201947074561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6514421745 + ... + 6514421775.

It is an arithmetic number, because the mean of its divisors is an integer number (396313344).

Almost surely, 2^201947074560 is an apocalyptic number.

201947074560 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 201947074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494599053312).

201947074560 is an abundant number, since it is smaller than the sum of its proper divisors (787251032064).

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

201947074560 is a wasteful number, since it uses less digits than its factorization.

201947074560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 201947074560 in words is "two hundred one billion, nine hundred forty-seven million, seventy-four thousand, five hundred sixty".