1642127760 has 480 divisors, whose sum is σ = 6902558208. Its totient is φ = 340623360.

The previous prime is 1642127759. The next prime is 1642127771. The reversal of 1642127760 is 677212461.

1642127760 is a `hidden beast` number, since 1 + 642 + 1 + 2 + 7 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4651744 + ... + 4652096.

Almost surely, 2^1642127760 is an apocalyptic number.

1642127760 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 1642127760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3451279104).

1642127760 is an abundant number, since it is smaller than the sum of its proper divisors (5260430448).

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

1642127760 is a wasteful number, since it uses less digits than its factorization.

1642127760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1642127760 is about 40523.1755912589. The cubic root of 1642127760 is about 1179.7834899136.

The spelling of 1642127760 in words is "one billion, six hundred forty-two million, one hundred twenty-seven thousand, seven hundred sixty".