1648542672 has 240 divisors, whose sum is σ = 5624997120. Its totient is φ = 460712448.

The previous prime is 1648542653. The next prime is 1648542703. The reversal of 1648542672 is 2762458461.

1648542672 is a `hidden beast` number, since 1 + 6 + 48 + 542 + 67 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 994068 + ... + 995724.

It is an arithmetic number, because the mean of its divisors is an integer number (23437488).

Almost surely, 2^1648542672 is an apocalyptic number.

1648542672 is a gapful number since it is divisible by the number (12) 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 1648542672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812498560).

1648542672 is an abundant number, since it is smaller than the sum of its proper divisors (3976454448).

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

1648542672 is a wasteful number, since it uses less digits than its factorization.

1648542672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1716 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 1648542672 is about 40602.2495928489. The cubic root of 1648542672 is about 1181.3177541384.

The spelling of 1648542672 in words is "one billion, six hundred forty-eight million, five hundred forty-two thousand, six hundred seventy-two".