1868638464 has 288 divisors, whose sum is σ = 6891386880. Its totient is φ = 485222400.

The previous prime is 1868638441. The next prime is 1868638507. The reversal of 1868638464 is 4648368681.

1868638464 is a `hidden beast` number, since 186 + 86 + 384 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1868638464.

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, 530469 + ... + 533979.

Almost surely, 2^1868638464 is an apocalyptic number.

1868638464 is a gapful number since it is divisible by the number (14) 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 1868638464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445693440).

1868638464 is an abundant number, since it is smaller than the sum of its proper divisors (5022748416).

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

1868638464 is a wasteful number, since it uses less digits than its factorization.

1868638464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554 (or 3534 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 1868638464 is about 43227.7510865416. The cubic root of 1868638464 is about 1231.7098883998.

The spelling of 1868638464 in words is "one billion, eight hundred sixty-eight million, six hundred thirty-eight thousand, four hundred sixty-four".