19264347648 has 360 divisors, whose sum is σ = 69661119528. Its totient is φ = 5079932928.

The previous prime is 19264347647. The next prime is 19264347649. The reversal of 19264347648 is 84674346291.

19264347648 is a `hidden beast` number, since 1 + 92 + 6 + 43 + 476 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (19264347647) and next prime (19264347649).

It is a super-2 number, since 2×19264347648² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 19264347594 and 19264347603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19264347647) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2932015 + ... + 2938577.

Almost surely, 2^19264347648 is an apocalyptic number.

19264347648 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 19264347648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34830559764).

19264347648 is an abundant number, since it is smaller than the sum of its proper divisors (50396771880).

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

19264347648 is a wasteful number, since it uses less digits than its factorization.

19264347648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6614 (or 6588 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 19264347648 in words is "nineteen billion, two hundred sixty-four million, three hundred forty-seven thousand, six hundred forty-eight".