19616076480 has 896 divisors, whose sum is σ = 84797798400. Its totient is φ = 3709992960.

The previous prime is 19616076451. The next prime is 19616076481. The reversal of 19616076480 is 8467061691.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (19616076481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 131651446 + ... + 131651594.

It is an arithmetic number, because the mean of its divisors is an integer number (94640400).

Almost surely, 2^19616076480 is an apocalyptic number.

19616076480 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 19616076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42398899200).

19616076480 is an abundant number, since it is smaller than the sum of its proper divisors (65181721920).

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

19616076480 is a wasteful number, since it uses less digits than its factorization.

19616076480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 19616076480 in words is "nineteen billion, six hundred sixteen million, seventy-six thousand, four hundred eighty".