1879712640 has 288 divisors, whose sum is σ = 7032228840. Its totient is φ = 462458880.

The previous prime is 1879712623. The next prime is 1879712647. The reversal of 1879712640 is 462179781.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1879712647) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 972475 + ... + 974405.

Almost surely, 2^1879712640 is an apocalyptic number.

1879712640 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 1879712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516114420).

1879712640 is an abundant number, since it is smaller than the sum of its proper divisors (5152516200).

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

1879712640 is a wasteful number, since it uses less digits than its factorization.

1879712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1879712640 is about 43355.6529186218. The cubic root of 1879712640 is about 1234.1382723645.

The spelling of 1879712640 in words is "one billion, eight hundred seventy-nine million, seven hundred twelve thousand, six hundred forty".