1864878336 has 144 divisors (see below), whose sum is σ = 5606446720. Its totient is φ = 611297280.

The previous prime is 1864878331. The next prime is 1864878347. The reversal of 1864878336 is 6338784681.

1864878336 is a `hidden beast` number, since 1 + 86 + 487 + 83 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (1864878331) 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, 419421 + ... + 423843.

Almost surely, 2^1864878336 is an apocalyptic number.

1864878336 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 1864878336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803223360).

1864878336 is an abundant number, since it is smaller than the sum of its proper divisors (3741568384).

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

1864878336 is an equidigital number, since it uses as much as digits as its factorization.

1864878336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4509 (or 4489 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 1864878336 is about 43184.2371242100. The cubic root of 1864878336 is about 1230.8831729640.

The spelling of 1864878336 in words is "one billion, eight hundred sixty-four million, eight hundred seventy-eight thousand, three hundred thirty-six".