1864755648 has 224 divisors, whose sum is σ = 6468587520. Its totient is φ = 515496960.

The previous prime is 1864755631. The next prime is 1864755667. The reversal of 1864755648 is 8465574681.

1864755648 is a `hidden beast` number, since 1 + 8 + 6 + 4 + 75 + 564 + 8 = 666.

1864755648 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1864755594 and 1864755603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372490 + ... + 377462.

Almost surely, 2^1864755648 is an apocalyptic number.

1864755648 is a gapful number since it is divisible by the number (18) 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 1864755648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234293760).

1864755648 is an abundant number, since it is smaller than the sum of its proper divisors (4603831872).

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

1864755648 is a wasteful number, since it uses less digits than its factorization.

1864755648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5032 (or 5016 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 1864755648 is about 43182.8165825250. The cubic root of 1864755648 is about 1230.8561796201.

The spelling of 1864755648 in words is "one billion, eight hundred sixty-four million, seven hundred fifty-five thousand, six hundred forty-eight".