19745914320 has 400 divisors, whose sum is σ = 76847367168. Its totient is φ = 4656890880.

The previous prime is 19745914291. The next prime is 19745914361. The reversal of 19745914320 is 2341954791.

19745914320 is a `hidden beast` number, since 1 + 97 + 45 + 91 + 432 + 0 = 666.

It is a super-2 number, since 2×19745914320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2633617 + ... + 2641103.

Almost surely, 2^19745914320 is an apocalyptic number.

19745914320 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 19745914320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38423683584).

19745914320 is an abundant number, since it is smaller than the sum of its proper divisors (57101452848).

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

19745914320 is a wasteful number, since it uses less digits than its factorization.

19745914320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7560 (or 7545 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 19745914320 in words is "nineteen billion, seven hundred forty-five million, nine hundred fourteen thousand, three hundred twenty".