201672767340 has 432 divisors, whose sum is σ = 701152478208. Its totient is φ = 46484928000.

The previous prime is 201672767339. The next prime is 201672767357. The reversal of 201672767340 is 43767276102.

201672767340 is a `hidden beast` number, since 20 + 16 + 7 + 276 + 7 + 340 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 228394539 + ... + 228395421.

It is an arithmetic number, because the mean of its divisors is an integer number (1623038144).

Almost surely, 2^201672767340 is an apocalyptic number.

201672767340 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 201672767340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350576239104).

201672767340 is an abundant number, since it is smaller than the sum of its proper divisors (499479710868).

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

201672767340 is a wasteful number, since it uses less digits than its factorization.

201672767340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 201672767340 in words is "two hundred one billion, six hundred seventy-two million, seven hundred sixty-seven thousand, three hundred forty".