19297620679680 has 1408 divisors, whose sum is σ = 80117093468160. Its totient is φ = 4313548062720.

The previous prime is 19297620679669. The next prime is 19297620679703. The reversal of 19297620679680 is 8697602679291.

19297620679680 is a `hidden beast` number, since 1 + 9 + 297 + 6 + 206 + 79 + 68 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 19297620679599 and 19297620679608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30105492160 + ... + 30105492800.

Almost surely, 2^{19297620679680} is an apocalyptic number.

19297620679680 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 19297620679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40058546734080).

19297620679680 is an abundant number, since it is smaller than the sum of its proper divisors (60819472788480).

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

19297620679680 is a wasteful number, since it uses less digits than its factorization.

19297620679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 19297620679680 in words is "nineteen trillion, two hundred ninety-seven billion, six hundred twenty million, six hundred seventy-nine thousand, six hundred eighty".