19834087680 has 1296 divisors, whose sum is σ = 85496366592. Its totient is φ = 4379443200.

The previous prime is 19834087639. The next prime is 19834087687. The reversal of 19834087680 is 8678043891.

19834087680 is a `hidden beast` number, since 1 + 98 + 3 + 408 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 (19834087687) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 639809265 + ... + 639809295.

Almost surely, 2^19834087680 is an apocalyptic number.

19834087680 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 19834087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42748183296).

19834087680 is an abundant number, since it is smaller than the sum of its proper divisors (65662278912).

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

19834087680 is a wasteful number, since it uses less digits than its factorization.

19834087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 19834087680 in words is "nineteen billion, eight hundred thirty-four million, eighty-seven thousand, six hundred eighty".