1642946760 has 512 divisors, whose sum is σ = 6862464000. Its totient is φ = 340402176.

The previous prime is 1642946749. The next prime is 1642946761. The reversal of 1642946760 is 676492461.

1642946760 is a `hidden beast` number, since 164 + 29 + 467 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1642946761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7174326 + ... + 7174554.

It is an arithmetic number, because the mean of its divisors is an integer number (13403250).

Almost surely, 2^1642946760 is an apocalyptic number.

1642946760 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 1642946760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431232000).

1642946760 is an abundant number, since it is smaller than the sum of its proper divisors (5219517240).

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

1642946760 is a wasteful number, since it uses less digits than its factorization.

1642946760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 1642946760 is about 40533.2796600522. The cubic root of 1642946760 is about 1179.9795936335.

The spelling of 1642946760 in words is "one billion, six hundred forty-two million, nine hundred forty-six thousand, seven hundred sixty".