19620753408 has 312 divisors, whose sum is σ = 60439750800. Its totient is φ = 6115295232.

The previous prime is 19620753407. The next prime is 19620753419. The reversal of 19620753408 is 80435702691.

19620753408 is a `hidden beast` number, since 1 + 96 + 20 + 7 + 534 + 0 + 8 = 666.

It is a super-2 number, since 2×19620753408² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19620753403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76345216 + ... + 76345472.

It is an arithmetic number, because the mean of its divisors is an integer number (193717150).

It is a 1-persistent number, because it is pandigital, but 2⋅19620753408 = 39241506816 is not.

Almost surely, 2^19620753408 is an apocalyptic number.

19620753408 is a gapful number since it is divisible by the number (18) 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 19620753408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30219875400).

19620753408 is an abundant number, since it is smaller than the sum of its proper divisors (40818997392).

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

19620753408 is a wasteful number, since it uses less digits than its factorization.

19620753408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 19620753408 in words is "nineteen billion, six hundred twenty million, seven hundred fifty-three thousand, four hundred eight".