7648004745108 has 864 divisors, whose sum is σ = 26650922188800. Its totient is φ = 1895478568704.

The previous prime is 7648004745107. The next prime is 7648004745163. The reversal of 7648004745108 is 8015474008467.

7648004745108 is a `hidden beast` number, since 7 + 6 + 4 + 80 + 0 + 47 + 4 + 510 + 8 = 666.

It is a super-3 number, since 3×7648004745108³ (a number of 40 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (7648004745103) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1494040173 + ... + 1494045291.

Almost surely, 2^{7648004745108} is an apocalyptic number.

7648004745108 is a gapful number since it is divisible by the number (78) 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 7648004745108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13325461094400).

7648004745108 is an abundant number, since it is smaller than the sum of its proper divisors (19002917443692).

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

7648004745108 is a wasteful number, since it uses less digits than its factorization.

7648004745108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5311 (or 5290 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 7648004745108 in words is "seven trillion, six hundred forty-eight billion, four million, seven hundred forty-five thousand, one hundred eight".