1642753216 has 56 divisors (see below), whose sum is σ = 3519031824. Its totient is φ = 756372480.

The previous prime is 1642753213. The next prime is 1642753249. The reversal of 1642753216 is 6123572461.

It is not an unprimeable number, because it can be changed into a prime (1642753213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381411 + ... + 385693.

It is an arithmetic number, because the mean of its divisors is an integer number (62839854).

Almost surely, 2^1642753216 is an apocalyptic number.

1642753216 is a gapful number since it is divisible by the number (16) 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 1642753216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759515912).

1642753216 is an abundant number, since it is smaller than the sum of its proper divisors (1876278608).

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

1642753216 is a wasteful number, since it uses less digits than its factorization.

1642753216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4769 (or 4759 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 1642753216 is about 40530.8921194686. The cubic root of 1642753216 is about 1179.9332567822.

The spelling of 1642753216 in words is "one billion, six hundred forty-two million, seven hundred fifty-three thousand, two hundred sixteen".