1879867484352 has 1512 divisors, whose sum is σ = 7033289163264. Its totient is φ = 475169587200.

The previous prime is 1879867484333. The next prime is 1879867484357. The reversal of 1879867484352 is 2534847689781.

It is a happy number.

1879867484352 is a `hidden beast` number, since 1 + 8 + 7 + 98 + 6 + 7 + 484 + 3 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1879867484357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 14802106113 + ... + 14802106239.

It is an arithmetic number, because the mean of its divisors is an integer number (4651646272).

Almost surely, 2^{1879867484352} is an apocalyptic number.

1879867484352 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 1879867484352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516644581632).

1879867484352 is an abundant number, since it is smaller than the sum of its proper divisors (5153421678912).

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

1879867484352 is a wasteful number, since it uses less digits than its factorization.

1879867484352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 204 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 72.

The spelling of 1879867484352 in words is "one trillion, eight hundred seventy-nine billion, eight hundred sixty-seven million, four hundred eighty-four thousand, three hundred fifty-two".