19462940720640 has 640 divisors, whose sum is σ = 75562146570240. Its totient is φ = 4727232921600.

The previous prime is 19462940720621. The next prime is 19462940720681. The reversal of 19462940720640 is 4602704926491.

19462940720640 is a `hidden beast` number, since 1 + 9 + 4 + 6 + 29 + 407 + 206 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×19462940720640² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36159085 + ... + 36693395.

It is an arithmetic number, because the mean of its divisors is an integer number (118065854016).

Almost surely, 2^{19462940720640} is an apocalyptic number.

19462940720640 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 19462940720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37781073285120).

19462940720640 is an abundant number, since it is smaller than the sum of its proper divisors (56099205849600).

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

19462940720640 is a wasteful number, since it uses less digits than its factorization.

19462940720640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534391 (or 534369 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 19462940720640 in words is "nineteen trillion, four hundred sixty-two billion, nine hundred forty million, seven hundred twenty thousand, six hundred forty".