19648474560 has 1568 divisors, whose sum is σ = 89549752320. Its totient is φ = 4031078400.

The previous prime is 19648474511. The next prime is 19648474583. The reversal of 19648474560 is 6547484691.

19648474560 is a `hidden beast` number, since 1 + 9 + 6 + 4 + 8 + 4 + 74 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 19648474497 and 19648474506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 633821745 + ... + 633821775.

Almost surely, 2^19648474560 is an apocalyptic number.

19648474560 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 19648474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44774876160).

19648474560 is an abundant number, since it is smaller than the sum of its proper divisors (69901277760).

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

19648474560 is a wasteful number, since it uses less digits than its factorization.

19648474560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 19648474560 in words is "nineteen billion, six hundred forty-eight million, four hundred seventy-four thousand, five hundred sixty".