1869263004672 has 704 divisors, whose sum is σ = 6489612288000. Its totient is φ = 520484880384.

The previous prime is 1869263004671. The next prime is 1869263004737. The reversal of 1869263004672 is 2764003629681.

1869263004672 is a `hidden beast` number, since 186 + 92 + 6 + 300 + 4 + 6 + 72 = 666.

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 (1869263004671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1450164604 + ... + 1450165892.

Almost surely, 2^{1869263004672} is an apocalyptic number.

1869263004672 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 1869263004672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3244806144000).

1869263004672 is an abundant number, since it is smaller than the sum of its proper divisors (4620349283328).

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

1869263004672 is a wasteful number, since it uses less digits than its factorization.

1869263004672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 1869263004672 in words is "one trillion, eight hundred sixty-nine billion, two hundred sixty-three million, four thousand, six hundred seventy-two".