1879258467840 has 640 divisors, whose sum is σ = 6628615741440. Its totient is φ = 451303047168.

The previous prime is 1879258467833. The next prime is 1879258467841. The reversal of 1879258467840 is 487648529781.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1879258467840² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1879258467841) 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, 2613711001 + ... + 2613711719.

It is an arithmetic number, because the mean of its divisors is an integer number (10357212096).

Almost surely, 2^{1879258467840} is an apocalyptic number.

1879258467840 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 1879258467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314307870720).

1879258467840 is an abundant number, since it is smaller than the sum of its proper divisors (4749357273600).

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

1879258467840 is a wasteful number, since it uses less digits than its factorization.

1879258467840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 69.

The spelling of 1879258467840 in words is "one trillion, eight hundred seventy-nine billion, two hundred fifty-eight million, four hundred sixty-seven thousand, eight hundred forty".