1642135740 has 192 divisors, whose sum is σ = 5588352000. Its totient is φ = 351719424.

The previous prime is 1642135727. The next prime is 1642135753. The reversal of 1642135740 is 475312461.

It is an interprime number because it is at equal distance from previous prime (1642135727) and next prime (1642135753).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2491531 + ... + 2492189.

It is an arithmetic number, because the mean of its divisors is an integer number (29106000).

Almost surely, 2^1642135740 is an apocalyptic number.

1642135740 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 1642135740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794176000).

1642135740 is an abundant number, since it is smaller than the sum of its proper divisors (3946216260).

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

1642135740 is a wasteful number, since it uses less digits than its factorization.

1642135740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 1642135740 is about 40523.2740533141. The cubic root of 1642135740 is about 1179.7854009823.

The spelling of 1642135740 in words is "one billion, six hundred forty-two million, one hundred thirty-five thousand, seven hundred forty".