201607117740 has 576 divisors, whose sum is σ = 766383980544. Its totient is φ = 41845579776.

The previous prime is 201607117739. The next prime is 201607117769. The reversal of 201607117740 is 47711706102.

201607117740 is a `hidden beast` number, since 2 + 0 + 1 + 607 + 1 + 1 + 7 + 7 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 201607117695 and 201607117704.

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, 100651579 + ... + 100653581.

It is an arithmetic number, because the mean of its divisors is an integer number (1330527744).

Almost surely, 2^201607117740 is an apocalyptic number.

201607117740 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 201607117740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383191990272).

201607117740 is an abundant number, since it is smaller than the sum of its proper divisors (564776862804).

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

201607117740 is a wasteful number, since it uses less digits than its factorization.

201607117740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 201607117740 in words is "two hundred one billion, six hundred seven million, one hundred seventeen thousand, seven hundred forty".