1742664672 has 192 divisors, whose sum is σ = 5830755840. Its totient is φ = 496032768.

The previous prime is 1742664661. The next prime is 1742664689. The reversal of 1742664672 is 2764662471.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2824108 + ... + 2824724.

It is an arithmetic number, because the mean of its divisors is an integer number (30368520).

Almost surely, 2^1742664672 is an apocalyptic number.

1742664672 is a gapful number since it is divisible by the number (12) 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 1742664672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915377920).

1742664672 is an abundant number, since it is smaller than the sum of its proper divisors (4088091168).

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

1742664672 is a wasteful number, since it uses less digits than its factorization.

1742664672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1096 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 1742664672 is about 41745.2353209321. The cubic root of 1742664672 is about 1203.3850422621.

The spelling of 1742664672 in words is "one billion, seven hundred forty-two million, six hundred sixty-four thousand, six hundred seventy-two".