1642049760 has 192 divisors, whose sum is σ = 5642542080. Its totient is φ = 398960640.

The previous prime is 1642049753. The next prime is 1642049791. The reversal of 1642049760 is 679402461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 491295 + ... + 494625.

It is an arithmetic number, because the mean of its divisors is an integer number (29388240).

Almost surely, 2^1642049760 is an apocalyptic number.

1642049760 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 1642049760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821271040).

1642049760 is an abundant number, since it is smaller than the sum of its proper divisors (4000492320).

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

1642049760 is a wasteful number, since it uses less digits than its factorization.

1642049760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3441 (or 3433 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 1642049760 is about 40522.2131675949. The cubic root of 1642049760 is about 1179.7648099684.

The spelling of 1642049760 in words is "one billion, six hundred forty-two million, forty-nine thousand, seven hundred sixty".