7463883648 has 96 divisors (see below), whose sum is σ = 21468513240. Its totient is φ = 2296559616.

The previous prime is 7463883631. The next prime is 7463883653. The reversal of 7463883648 is 8463883647.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×7463883648² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7390 + ... + 122402.

Almost surely, 2^7463883648 is an apocalyptic number.

7463883648 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 7463883648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10734256620).

7463883648 is an abundant number, since it is smaller than the sum of its proper divisors (14004629592).

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

7463883648 is a wasteful number, since it uses less digits than its factorization.

7463883648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115056 (or 115031 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 57.

The square root of 7463883648 is about 86393.7708865633. The cubic root of 7463883648 is about 1954.2867471793.

Subtracting 7463883648 from its reverse (8463883647), we obtain a palindrome (999999999).

The spelling of 7463883648 in words is "seven billion, four hundred sixty-three million, eight hundred eighty-three thousand, six hundred forty-eight".