1863516672 has 160 divisors (see below), whose sum is σ = 5756952960. Its totient is φ = 594063360.

The previous prime is 1863516661. The next prime is 1863516673. The reversal of 1863516672 is 2766153681.

1863516672 is a `hidden beast` number, since 1 + 8 + 63 + 516 + 6 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (1863516673) 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, 315022 + ... + 320882.

It is an arithmetic number, because the mean of its divisors is an integer number (35980956).

Almost surely, 2^1863516672 is an apocalyptic number.

1863516672 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 1863516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878476480).

1863516672 is an abundant number, since it is smaller than the sum of its proper divisors (3893436288).

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

1863516672 is an equidigital number, since it uses as much as digits as its factorization.

1863516672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5911 (or 5889 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 1863516672 is about 43168.4684926394. The cubic root of 1863516672 is about 1230.5835184919.

The spelling of 1863516672 in words is "one billion, eight hundred sixty-three million, five hundred sixteen thousand, six hundred seventy-two".