1863627013440 has 448 divisors, whose sum is σ = 6667170816000. Its totient is φ = 489977579520.

The previous prime is 1863627013439. The next prime is 1863627013459. The reversal of 1863627013440 is 443107263681.

1863627013440 is a `hidden beast` number, since 1 + 8 + 6 + 3 + 627 + 0 + 13 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 627271155 + ... + 627274125.

Almost surely, 2^{1863627013440} is an apocalyptic number.

1863627013440 is a gapful number since it is divisible by the number (10) 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 1863627013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333585408000).

1863627013440 is an abundant number, since it is smaller than the sum of its proper divisors (4803543802560).

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

1863627013440 is a wasteful number, since it uses less digits than its factorization.

1863627013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3995 (or 3979 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 1863627013440 in words is "one trillion, eight hundred sixty-three billion, six hundred twenty-seven million, thirteen thousand, four hundred forty".