7641803952 has 160 divisors (see below), whose sum is σ = 23162208000. Its totient is φ = 2412265536.

The previous prime is 7641803947. The next prime is 7641803957. The reversal of 7641803952 is 2593081467.

7641803952 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7641803947) and next prime (7641803957).

7641803952 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 7641803898 and 7641803907.

It is not an unprimeable number, because it can be changed into a prime (7641803957) 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, 2961799 + ... + 2964377.

It is an arithmetic number, because the mean of its divisors is an integer number (144763800).

It is a 2-persistent number, because it is pandigital, and so is 2⋅7641803952 = 15283607904, but 3⋅7641803952 = 22925411856 is not.

Almost surely, 2^7641803952 is an apocalyptic number.

7641803952 is a gapful number since it is divisible by the number (72) 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 7641803952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11581104000).

7641803952 is an abundant number, since it is smaller than the sum of its proper divisors (15520404048).

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

7641803952 is a wasteful number, since it uses less digits than its factorization.

7641803952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2653 (or 2603 counting only the distinct ones).

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

The square root of 7641803952 is about 87417.4121785814. The cubic root of 7641803952 is about 1969.6934041488.

The spelling of 7641803952 in words is "seven billion, six hundred forty-one million, eight hundred three thousand, nine hundred fifty-two".