7648040000 has 140 divisors (see below), whose sum is σ = 19062947904. Its totient is φ = 3043392000.

The previous prime is 7648039969. The next prime is 7648040003. The reversal of 7648040000 is 408467.

It is not an unprimeable number, because it can be changed into a prime (7648040003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10519637 + ... + 10520363.

Almost surely, 2^7648040000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7648040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9531473952).

7648040000 is an abundant number, since it is smaller than the sum of its proper divisors (11414907904).

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

7648040000 is an equidigital number, since it uses as much as digits as its factorization.

7648040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 7648040000 is about 87453.0731306796. The cubic root of 7648040000 is about 1970.2290439454.

Adding to 7648040000 its reverse (408467), we get a palindrome (7648448467).

The spelling of 7648040000 in words is "seven billion, six hundred forty-eight million, forty thousand".