1642739648 has 112 divisors (see below), whose sum is σ = 3785945184. Its totient is φ = 698941440.

The previous prime is 1642739641. The next prime is 1642739663. The reversal of 1642739648 is 8469372461.

It is a super-2 number, since 2×1642739648² = 5397187102222327808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1642739596 and 1642739605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1642739641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3793640 + ... + 3794072.

It is an arithmetic number, because the mean of its divisors is an integer number (33803082).

Almost surely, 2^1642739648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1642739648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892972592).

1642739648 is an abundant number, since it is smaller than the sum of its proper divisors (2143205536).

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

1642739648 is a wasteful number, since it uses less digits than its factorization.

1642739648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 780 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 50.

The square root of 1642739648 is about 40530.7247406212. The cubic root of 1642739648 is about 1179.9300082971.

The spelling of 1642739648 in words is "one billion, six hundred forty-two million, seven hundred thirty-nine thousand, six hundred forty-eight".