20192756640 has 192 divisors, whose sum is σ = 74241183744. Its totient is φ = 4517250048.

The previous prime is 20192756627. The next prime is 20192756641. The reversal of 20192756640 is 4665729102.

It is a super-3 number, since 3×20192756640³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 20192756592 and 20192756601.

It is not an unprimeable number, because it can be changed into a prime (20192756641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93987 + ... + 221853.

It is an arithmetic number, because the mean of its divisors is an integer number (386672832).

Almost surely, 2^20192756640 is an apocalyptic number.

20192756640 is a gapful number since it is divisible by the number (20) 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 20192756640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37120591872).

20192756640 is an abundant number, since it is smaller than the sum of its proper divisors (54048427104).

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

20192756640 is a wasteful number, since it uses less digits than its factorization.

20192756640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127939 (or 127931 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 20192756640 in words is "twenty billion, one hundred ninety-two million, seven hundred fifty-six thousand, six hundred forty".