7632279648 has 384 divisors, whose sum is σ = 26316057600. Its totient is φ = 2107109376.

The previous prime is 7632279647. The next prime is 7632279731. The reversal of 7632279648 is 8469722367.

It is a super-3 number, since 3×7632279648³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 = 7632279594 and 7632279603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7632279643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26048590 + ... + 26048882.

It is an arithmetic number, because the mean of its divisors is an integer number (68531400).

Almost surely, 2^7632279648 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 7632279648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13158028800).

7632279648 is an abundant number, since it is smaller than the sum of its proper divisors (18683777952).

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

7632279648 is a wasteful number, since it uses less digits than its factorization.

7632279648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 437 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 7632279648 is about 87362.9191819962. The cubic root of 7632279648 is about 1968.8747598398.

The spelling of 7632279648 in words is "seven billion, six hundred thirty-two million, two hundred seventy-nine thousand, six hundred forty-eight".