1742120640 has 672 divisors, whose sum is σ = 7100620800. Its totient is φ = 388177920.

The previous prime is 1742120591. The next prime is 1742120669. The reversal of 1742120640 is 460212471.

1742120640 is a `hidden beast` number, since 1 + 7 + 4 + 2 + 12 + 0 + 640 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22052121 + ... + 22052199.

It is an arithmetic number, because the mean of its divisors is an integer number (10566400).

Almost surely, 2^1742120640 is an apocalyptic number.

1742120640 is a gapful number since it is divisible by the number (10) 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 1742120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3550310400).

1742120640 is an abundant number, since it is smaller than the sum of its proper divisors (5358500160).

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

1742120640 is a wasteful number, since it uses less digits than its factorization.

1742120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1742120640 is about 41738.7187153607. The cubic root of 1742120640 is about 1203.2598033831.

The spelling of 1742120640 in words is "one billion, seven hundred forty-two million, one hundred twenty thousand, six hundred forty".