19847600640 has 1280 divisors, whose sum is σ = 90508492800. Its totient is φ = 4013162496.

The previous prime is 19847600639. The next prime is 19847600651. The reversal of 19847600640 is 4600674891.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a hoax number, since the sum of its digits (45) 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 (45).

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, 156280257 + ... + 156280383.

It is an arithmetic number, because the mean of its divisors is an integer number (70709760).

Almost surely, 2^19847600640 is an apocalyptic number.

19847600640 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 19847600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45254246400).

19847600640 is an abundant number, since it is smaller than the sum of its proper divisors (70660892160).

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

19847600640 is a wasteful number, since it uses less digits than its factorization.

19847600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 19847600640 in words is "nineteen billion, eight hundred forty-seven million, six hundred thousand, six hundred forty".